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Finding the Fourth Proportional to 157,921.76, 217,932.60 and 86,302.88

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Solution

The fourth proportional to 157,921.76, 217,932.60 and 86,302.88 is: 119,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,921.76 : 217,932.60 = 86,302.88 : x
  2. Step 2: Convert to fraction form
    157,921.76/217,932.60 = 86,302.88/x
  3. Step 3: Cross multiply
    157,921.76x = 217,932.60 × 86,302.88
  4. Step 4: Simplify right side
    157,921.76x = 18,808,211,025.89
  5. Step 5: Solve for x
    x = 18,808,211,025.89/157,921.76
  6. Step 6: Final answer
    x = 119,098.29

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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.