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Finding the Fourth Proportional to 253,220.82, 349,438.77 and 140,041.14

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Solution

The fourth proportional to 253,220.82, 349,438.77 and 140,041.14 is: 193,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,220.82 : 349,438.77 = 140,041.14 : x
  2. Step 2: Convert to fraction form
    253,220.82/349,438.77 = 140,041.14/x
  3. Step 3: Cross multiply
    253,220.82x = 349,438.77 × 140,041.14
  4. Step 4: Simplify right side
    253,220.82x = 48,935,803,711.00
  5. Step 5: Solve for x
    x = 48,935,803,711.00/253,220.82
  6. Step 6: Final answer
    x = 193,253.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.