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Finding the Fourth Proportional to 114,445.30, 171,677.29 and 57,489.91

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Solution

The fourth proportional to 114,445.30, 171,677.29 and 57,489.91 is: 86,239.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,445.30 : 171,677.29 = 57,489.91 : x
  2. Step 2: Convert to fraction form
    114,445.30/171,677.29 = 57,489.91/x
  3. Step 3: Cross multiply
    114,445.30x = 171,677.29 × 57,489.91
  4. Step 4: Simplify right side
    114,445.30x = 9,869,711,951.14
  5. Step 5: Solve for x
    x = 9,869,711,951.14/114,445.30
  6. Step 6: Final answer
    x = 86,239.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.