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Finding the Fourth Proportional to 219,589.50, 329,150.90 and 86,451.42

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Solution

The fourth proportional to 219,589.50, 329,150.90 and 86,451.42 is: 129,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,589.50 : 329,150.90 = 86,451.42 : x
  2. Step 2: Convert to fraction form
    219,589.50/329,150.90 = 86,451.42/x
  3. Step 3: Cross multiply
    219,589.50x = 329,150.90 × 86,451.42
  4. Step 4: Simplify right side
    219,589.50x = 28,455,562,699.28
  5. Step 5: Solve for x
    x = 28,455,562,699.28/219,589.50
  6. Step 6: Final answer
    x = 129,585.26

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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.