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Finding the Fourth Proportional to 146,686.80, 220,103.10 and 57,943.20

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Solution

The fourth proportional to 146,686.80, 220,103.10 and 57,943.20 is: 86,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,686.80 : 220,103.10 = 57,943.20 : x
  2. Step 2: Convert to fraction form
    146,686.80/220,103.10 = 57,943.20/x
  3. Step 3: Cross multiply
    146,686.80x = 220,103.10 × 57,943.20
  4. Step 4: Simplify right side
    146,686.80x = 12,753,477,943.92
  5. Step 5: Solve for x
    x = 12,753,477,943.92/146,686.80
  6. Step 6: Final answer
    x = 86,943.60

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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.