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Finding the Fourth Proportional to 392,096.79, 588,098.43 and 107,816.22

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Solution

The fourth proportional to 392,096.79, 588,098.43 and 107,816.22 is: 161,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,096.79 : 588,098.43 = 107,816.22 : x
  2. Step 2: Convert to fraction form
    392,096.79/588,098.43 = 107,816.22/x
  3. Step 3: Cross multiply
    392,096.79x = 588,098.43 × 107,816.22
  4. Step 4: Simplify right side
    392,096.79x = 63,406,549,710.53
  5. Step 5: Solve for x
    x = 63,406,549,710.53/392,096.79
  6. Step 6: Final answer
    x = 161,711.47

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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.