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Finding the Fourth Proportional to 252,841.80, 379,284.42 and 65,853

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Solution

The fourth proportional to 252,841.80, 379,284.42 and 65,853 is: 98,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,841.80 : 379,284.42 = 65,853 : x
  2. Step 2: Convert to fraction form
    252,841.80/379,284.42 = 65,853/x
  3. Step 3: Cross multiply
    252,841.80x = 379,284.42 × 65,853
  4. Step 4: Simplify right side
    252,841.80x = 24,977,016,910.26
  5. Step 5: Solve for x
    x = 24,977,016,910.26/252,841.80
  6. Step 6: Final answer
    x = 98,785.16

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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.