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Finding the Fourth Proportional to 157,463.22, 217,296.54 and 85,838.88

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Solution

The fourth proportional to 157,463.22, 217,296.54 and 85,838.88 is: 118,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,463.22 : 217,296.54 = 85,838.88 : x
  2. Step 2: Convert to fraction form
    157,463.22/217,296.54 = 85,838.88/x
  3. Step 3: Cross multiply
    157,463.22x = 217,296.54 × 85,838.88
  4. Step 4: Simplify right side
    157,463.22x = 18,652,491,621.48
  5. Step 5: Solve for x
    x = 18,652,491,621.48/157,463.22
  6. Step 6: Final answer
    x = 118,456.18

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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.