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Finding the Fourth Proportional to 206,429.60, 309,352.80 and 144,027.20

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Solution

The fourth proportional to 206,429.60, 309,352.80 and 144,027.20 is: 215,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,429.60 : 309,352.80 = 144,027.20 : x
  2. Step 2: Convert to fraction form
    206,429.60/309,352.80 = 144,027.20/x
  3. Step 3: Cross multiply
    206,429.60x = 309,352.80 × 144,027.20
  4. Step 4: Simplify right side
    206,429.60x = 44,555,217,596.16
  5. Step 5: Solve for x
    x = 44,555,217,596.16/206,429.60
  6. Step 6: Final answer
    x = 215,837.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.