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Finding the Fourth Proportional to 171,412.49, 257,150.06 and 53,075.81

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Solution

The fourth proportional to 171,412.49, 257,150.06 and 53,075.81 is: 79,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,412.49 : 257,150.06 = 53,075.81 : x
  2. Step 2: Convert to fraction form
    171,412.49/257,150.06 = 53,075.81/x
  3. Step 3: Cross multiply
    171,412.49x = 257,150.06 × 53,075.81
  4. Step 4: Simplify right side
    171,412.49x = 13,648,446,174.92
  5. Step 5: Solve for x
    x = 13,648,446,174.92/171,412.49
  6. Step 6: Final answer
    x = 79,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.