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Finding the Fourth Proportional to 146,560.80, 219,914.10 and 57,817.20

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Solution

The fourth proportional to 146,560.80, 219,914.10 and 57,817.20 is: 86,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,560.80 : 219,914.10 = 57,817.20 : x
  2. Step 2: Convert to fraction form
    146,560.80/219,914.10 = 57,817.20/x
  3. Step 3: Cross multiply
    146,560.80x = 219,914.10 × 57,817.20
  4. Step 4: Simplify right side
    146,560.80x = 12,714,817,502.52
  5. Step 5: Solve for x
    x = 12,714,817,502.52/146,560.80
  6. Step 6: Final answer
    x = 86,754.56

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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.