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Finding the Fourth Proportional to 157,151.86, 216,868.92 and 85,531.87

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Solution

The fourth proportional to 157,151.86, 216,868.92 and 85,531.87 is: 118,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,151.86 : 216,868.92 = 85,531.87 : x
  2. Step 2: Convert to fraction form
    157,151.86/216,868.92 = 85,531.87/x
  3. Step 3: Cross multiply
    157,151.86x = 216,868.92 × 85,531.87
  4. Step 4: Simplify right side
    157,151.86x = 18,549,204,272.48
  5. Step 5: Solve for x
    x = 18,549,204,272.48/157,151.86
  6. Step 6: Final answer
    x = 118,033.63

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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.