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Finding the Fourth Proportional to 87,461.60, 131,192.40 and 54,219.20

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Solution

The fourth proportional to 87,461.60, 131,192.40 and 54,219.20 is: 81,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461.60 : 131,192.40 = 54,219.20 : x
  2. Step 2: Convert to fraction form
    87,461.60/131,192.40 = 54,219.20/x
  3. Step 3: Cross multiply
    87,461.60x = 131,192.40 × 54,219.20
  4. Step 4: Simplify right side
    87,461.60x = 7,113,146,974.08
  5. Step 5: Solve for x
    x = 7,113,146,974.08/87,461.60
  6. Step 6: Final answer
    x = 81,328.80

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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.