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Finding the Fourth Proportional to 165,398.17, 247,984.98 and 84,145.50

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Solution

The fourth proportional to 165,398.17, 247,984.98 and 84,145.50 is: 126,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,398.17 : 247,984.98 = 84,145.50 : x
  2. Step 2: Convert to fraction form
    165,398.17/247,984.98 = 84,145.50/x
  3. Step 3: Cross multiply
    165,398.17x = 247,984.98 × 84,145.50
  4. Step 4: Simplify right side
    165,398.17x = 20,866,819,713.86
  5. Step 5: Solve for x
    x = 20,866,819,713.86/165,398.17
  6. Step 6: Final answer
    x = 126,161.13

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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.