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Finding the Fourth Proportional to 157,062.90, 235,335.15 and 133,734.90

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Solution

The fourth proportional to 157,062.90, 235,335.15 and 133,734.90 is: 200,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,062.90 : 235,335.15 = 133,734.90 : x
  2. Step 2: Convert to fraction form
    157,062.90/235,335.15 = 133,734.90/x
  3. Step 3: Cross multiply
    157,062.90x = 235,335.15 × 133,734.90
  4. Step 4: Simplify right side
    157,062.90x = 31,472,522,751.74
  5. Step 5: Solve for x
    x = 31,472,522,751.74/157,062.90
  6. Step 6: Final answer
    x = 200,381.65

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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.