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Finding the Fourth Proportional to 157,572.82, 217,451.88 and 85,953.16

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Solution

The fourth proportional to 157,572.82, 217,451.88 and 85,953.16 is: 118,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,572.82 : 217,451.88 = 85,953.16 : x
  2. Step 2: Convert to fraction form
    157,572.82/217,451.88 = 85,953.16/x
  3. Step 3: Cross multiply
    157,572.82x = 217,451.88 × 85,953.16
  4. Step 4: Simplify right side
    157,572.82x = 18,690,674,716.92
  5. Step 5: Solve for x
    x = 18,690,674,716.92/157,572.82
  6. Step 6: Final answer
    x = 118,616.11

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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.