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Finding the Fourth Proportional to 157,572.44, 217,451.36 and 85,952.78

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Solution

The fourth proportional to 157,572.44, 217,451.36 and 85,952.78 is: 118,615.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,572.44 : 217,451.36 = 85,952.78 : x
  2. Step 2: Convert to fraction form
    157,572.44/217,451.36 = 85,952.78/x
  3. Step 3: Cross multiply
    157,572.44x = 217,451.36 × 85,952.78
  4. Step 4: Simplify right side
    157,572.44x = 18,690,548,477.02
  5. Step 5: Solve for x
    x = 18,690,548,477.02/157,572.44
  6. Step 6: Final answer
    x = 118,615.59

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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.