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Finding the Fourth Proportional to 157,232.52, 216,986.31 and 85,613.76

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Solution

The fourth proportional to 157,232.52, 216,986.31 and 85,613.76 is: 118,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,232.52 : 216,986.31 = 85,613.76 : x
  2. Step 2: Convert to fraction form
    157,232.52/216,986.31 = 85,613.76/x
  3. Step 3: Cross multiply
    157,232.52x = 216,986.31 × 85,613.76
  4. Step 4: Simplify right side
    157,232.52x = 18,577,013,867.63
  5. Step 5: Solve for x
    x = 18,577,013,867.63/157,232.52
  6. Step 6: Final answer
    x = 118,149.95

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1.5x scale

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.