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Finding the Fourth Proportional to 266,869.70, 400,304.55 and 109,211.30

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Solution

The fourth proportional to 266,869.70, 400,304.55 and 109,211.30 is: 163,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,869.70 : 400,304.55 = 109,211.30 : x
  2. Step 2: Convert to fraction form
    266,869.70/400,304.55 = 109,211.30/x
  3. Step 3: Cross multiply
    266,869.70x = 400,304.55 × 109,211.30
  4. Step 4: Simplify right side
    266,869.70x = 43,717,780,301.42
  5. Step 5: Solve for x
    x = 43,717,780,301.42/266,869.70
  6. Step 6: Final answer
    x = 163,816.95

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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.