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Finding the Fourth Proportional to 84,102.20, 126,153.30 and 34,165.70

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Solution

The fourth proportional to 84,102.20, 126,153.30 and 34,165.70 is: 51,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102.20 : 126,153.30 = 34,165.70 : x
  2. Step 2: Convert to fraction form
    84,102.20/126,153.30 = 34,165.70/x
  3. Step 3: Cross multiply
    84,102.20x = 126,153.30 × 34,165.70
  4. Step 4: Simplify right side
    84,102.20x = 4,310,115,801.81
  5. Step 5: Solve for x
    x = 4,310,115,801.81/84,102.20
  6. Step 6: Final answer
    x = 51,248.55

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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.