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Finding the Fourth Proportional to 87,116.80, 130,772.40 and 81,406.30

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Solution

The fourth proportional to 87,116.80, 130,772.40 and 81,406.30 is: 122,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,116.80 : 130,772.40 = 81,406.30 : x
  2. Step 2: Convert to fraction form
    87,116.80/130,772.40 = 81,406.30/x
  3. Step 3: Cross multiply
    87,116.80x = 130,772.40 × 81,406.30
  4. Step 4: Simplify right side
    87,116.80x = 10,645,697,226.12
  5. Step 5: Solve for x
    x = 10,645,697,226.12/87,116.80
  6. Step 6: Final answer
    x = 122,200.28

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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.