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Finding the Fourth Proportional to 237,970.71, 356,841.24 and 138,156.03

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Solution

The fourth proportional to 237,970.71, 356,841.24 and 138,156.03 is: 207,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,970.71 : 356,841.24 = 138,156.03 : x
  2. Step 2: Convert to fraction form
    237,970.71/356,841.24 = 138,156.03/x
  3. Step 3: Cross multiply
    237,970.71x = 356,841.24 × 138,156.03
  4. Step 4: Simplify right side
    237,970.71x = 49,299,769,058.68
  5. Step 5: Solve for x
    x = 49,299,769,058.68/237,970.71
  6. Step 6: Final answer
    x = 207,167.38

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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.