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Finding the Fourth Proportional to 87,218.40, 130,827.60 and 75,813.60

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Solution

The fourth proportional to 87,218.40, 130,827.60 and 75,813.60 is: 113,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,218.40 : 130,827.60 = 75,813.60 : x
  2. Step 2: Convert to fraction form
    87,218.40/130,827.60 = 75,813.60/x
  3. Step 3: Cross multiply
    87,218.40x = 130,827.60 × 75,813.60
  4. Step 4: Simplify right side
    87,218.40x = 9,918,511,335.36
  5. Step 5: Solve for x
    x = 9,918,511,335.36/87,218.40
  6. Step 6: Final answer
    x = 113,720.40

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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.