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Finding the Fourth Proportional to 198,657.50, 297,693.14 and 117,520.61

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Solution

The fourth proportional to 198,657.50, 297,693.14 and 117,520.61 is: 176,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,657.50 : 297,693.14 = 117,520.61 : x
  2. Step 2: Convert to fraction form
    198,657.50/297,693.14 = 117,520.61/x
  3. Step 3: Cross multiply
    198,657.50x = 297,693.14 × 117,520.61
  4. Step 4: Simplify right side
    198,657.50x = 34,985,079,405.62
  5. Step 5: Solve for x
    x = 34,985,079,405.62/198,657.50
  6. Step 6: Final answer
    x = 176,107.52

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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.