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Finding the Fourth Proportional to 100,876.20, 151,314.30 and 65,446.80

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Solution

The fourth proportional to 100,876.20, 151,314.30 and 65,446.80 is: 98,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,876.20 : 151,314.30 = 65,446.80 : x
  2. Step 2: Convert to fraction form
    100,876.20/151,314.30 = 65,446.80/x
  3. Step 3: Cross multiply
    100,876.20x = 151,314.30 × 65,446.80
  4. Step 4: Simplify right side
    100,876.20x = 9,903,036,729.24
  5. Step 5: Solve for x
    x = 9,903,036,729.24/100,876.20
  6. Step 6: Final answer
    x = 98,170.20

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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.