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Finding the Fourth Proportional to 198,154.40, 297,314.98 and 123,337.14

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Solution

The fourth proportional to 198,154.40, 297,314.98 and 123,337.14 is: 185,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,154.40 : 297,314.98 = 123,337.14 : x
  2. Step 2: Convert to fraction form
    198,154.40/297,314.98 = 123,337.14/x
  3. Step 3: Cross multiply
    198,154.40x = 297,314.98 × 123,337.14
  4. Step 4: Simplify right side
    198,154.40x = 36,669,979,312.36
  5. Step 5: Solve for x
    x = 36,669,979,312.36/198,154.40
  6. Step 6: Final answer
    x = 185,057.61

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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.