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Finding the Fourth Proportional to 100,869.85, 151,304.78 and 65,877.85

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Solution

The fourth proportional to 100,869.85, 151,304.78 and 65,877.85 is: 98,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,869.85 : 151,304.78 = 65,877.85 : x
  2. Step 2: Convert to fraction form
    100,869.85/151,304.78 = 65,877.85/x
  3. Step 3: Cross multiply
    100,869.85x = 151,304.78 × 65,877.85
  4. Step 4: Simplify right side
    100,869.85x = 9,967,633,271.73
  5. Step 5: Solve for x
    x = 9,967,633,271.73/100,869.85
  6. Step 6: Final answer
    x = 98,816.78

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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.