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Finding the Fourth Proportional to 177,785.43, 266,700.02 and 65,446.53

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Solution

The fourth proportional to 177,785.43, 266,700.02 and 65,446.53 is: 98,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,785.43 : 266,700.02 = 65,446.53 : x
  2. Step 2: Convert to fraction form
    177,785.43/266,700.02 = 65,446.53/x
  3. Step 3: Cross multiply
    177,785.43x = 266,700.02 × 65,446.53
  4. Step 4: Simplify right side
    177,785.43x = 17,454,590,532.70
  5. Step 5: Solve for x
    x = 17,454,590,532.70/177,785.43
  6. Step 6: Final answer
    x = 98,177.85

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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.