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Finding the Fourth Proportional to 152,147.12, 209,892.32 and 98,449.44

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Solution

The fourth proportional to 152,147.12, 209,892.32 and 98,449.44 is: 135,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,147.12 : 209,892.32 = 98,449.44 : x
  2. Step 2: Convert to fraction form
    152,147.12/209,892.32 = 98,449.44/x
  3. Step 3: Cross multiply
    152,147.12x = 209,892.32 × 98,449.44
  4. Step 4: Simplify right side
    152,147.12x = 20,663,781,364.30
  5. Step 5: Solve for x
    x = 20,663,781,364.30/152,147.12
  6. Step 6: Final answer
    x = 135,814.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.