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Finding the Fourth Proportional to 577,626.08, 866,121.92 and 178,156

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Solution

The fourth proportional to 577,626.08, 866,121.92 and 178,156 is: 267,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,626.08 : 866,121.92 = 178,156 : x
  2. Step 2: Convert to fraction form
    577,626.08/866,121.92 = 178,156/x
  3. Step 3: Cross multiply
    577,626.08x = 866,121.92 × 178,156
  4. Step 4: Simplify right side
    577,626.08x = 154,304,816,779.52
  5. Step 5: Solve for x
    x = 154,304,816,779.52/577,626.08
  6. Step 6: Final answer
    x = 267,136.17

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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.