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Finding the Fourth Proportional to 84,188.40, 126,217.80 and 47,252.40

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Solution

The fourth proportional to 84,188.40, 126,217.80 and 47,252.40 is: 70,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,188.40 : 126,217.80 = 47,252.40 : x
  2. Step 2: Convert to fraction form
    84,188.40/126,217.80 = 47,252.40/x
  3. Step 3: Cross multiply
    84,188.40x = 126,217.80 × 47,252.40
  4. Step 4: Simplify right side
    84,188.40x = 5,964,093,972.72
  5. Step 5: Solve for x
    x = 5,964,093,972.72/84,188.40
  6. Step 6: Final answer
    x = 70,842.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.