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Finding the Fourth Proportional to 157,098.56, 233,871.13 and 156,164.52

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Solution

The fourth proportional to 157,098.56, 233,871.13 and 156,164.52 is: 232,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,098.56 : 233,871.13 = 156,164.52 : x
  2. Step 2: Convert to fraction form
    157,098.56/233,871.13 = 156,164.52/x
  3. Step 3: Cross multiply
    157,098.56x = 233,871.13 × 156,164.52
  4. Step 4: Simplify right side
    157,098.56x = 36,522,372,758.31
  5. Step 5: Solve for x
    x = 36,522,372,758.31/157,098.56
  6. Step 6: Final answer
    x = 232,480.63

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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.