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Finding the Fourth Proportional to 157,398.91, 217,204.18 and 85,777.41

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Solution

The fourth proportional to 157,398.91, 217,204.18 and 85,777.41 is: 118,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,398.91 : 217,204.18 = 85,777.41 : x
  2. Step 2: Convert to fraction form
    157,398.91/217,204.18 = 85,777.41/x
  3. Step 3: Cross multiply
    157,398.91x = 217,204.18 × 85,777.41
  4. Step 4: Simplify right side
    157,398.91x = 18,631,212,001.57
  5. Step 5: Solve for x
    x = 18,631,212,001.57/157,398.91
  6. Step 6: Final answer
    x = 118,369.38

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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.