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Finding the Fourth Proportional to 442,129.20, 663,193.80 and 146,641.20

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Solution

The fourth proportional to 442,129.20, 663,193.80 and 146,641.20 is: 219,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,129.20 : 663,193.80 = 146,641.20 : x
  2. Step 2: Convert to fraction form
    442,129.20/663,193.80 = 146,641.20/x
  3. Step 3: Cross multiply
    442,129.20x = 663,193.80 × 146,641.20
  4. Step 4: Simplify right side
    442,129.20x = 97,251,534,664.56
  5. Step 5: Solve for x
    x = 97,251,534,664.56/442,129.20
  6. Step 6: Final answer
    x = 219,961.80

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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.