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Finding the Fourth Proportional to 219,585.60, 329,081.76 and 160,142.40

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Solution

The fourth proportional to 219,585.60, 329,081.76 and 160,142.40 is: 239,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,585.60 : 329,081.76 = 160,142.40 : x
  2. Step 2: Convert to fraction form
    219,585.60/329,081.76 = 160,142.40/x
  3. Step 3: Cross multiply
    219,585.60x = 329,081.76 × 160,142.40
  4. Step 4: Simplify right side
    219,585.60x = 52,699,942,842.62
  5. Step 5: Solve for x
    x = 52,699,942,842.62/219,585.60
  6. Step 6: Final answer
    x = 239,997.26

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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.