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Finding the Fourth Proportional to 201,769,424.82, 301,548,614.54 and 147,296,717.46

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Solution

The fourth proportional to 201,769,424.82, 301,548,614.54 and 147,296,717.46 is: 220,138,017.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,769,424.82 : 301,548,614.54 = 147,296,717.46 : x
  2. Step 2: Convert to fraction form
    201,769,424.82/301,548,614.54 = 147,296,717.46/x
  3. Step 3: Cross multiply
    201,769,424.82x = 301,548,614.54 × 147,296,717.46
  4. Step 4: Simplify right side
    201,769,424.82x = 44,417,121,075,616,352
  5. Step 5: Solve for x
    x = 44,417,121,075,616,352/201,769,424.82
  6. Step 6: Final answer
    x = 220,138,017.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.