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Finding the Fourth Proportional to 157,575.21, 217,456.83 and 85,957.86

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Solution

The fourth proportional to 157,575.21, 217,456.83 and 85,957.86 is: 118,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,575.21 : 217,456.83 = 85,957.86 : x
  2. Step 2: Convert to fraction form
    157,575.21/217,456.83 = 85,957.86/x
  3. Step 3: Cross multiply
    157,575.21x = 217,456.83 × 85,957.86
  4. Step 4: Simplify right side
    157,575.21x = 18,692,123,749.18
  5. Step 5: Solve for x
    x = 18,692,123,749.18/157,575.21
  6. Step 6: Final answer
    x = 118,623.51

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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.