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Finding the Fourth Proportional to 198,656.50, 297,691.64 and 117,519.61

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Solution

The fourth proportional to 198,656.50, 297,691.64 and 117,519.61 is: 176,106.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,656.50 : 297,691.64 = 117,519.61 : x
  2. Step 2: Convert to fraction form
    198,656.50/297,691.64 = 117,519.61/x
  3. Step 3: Cross multiply
    198,656.50x = 297,691.64 × 117,519.61
  4. Step 4: Simplify right side
    198,656.50x = 34,984,605,595.89
  5. Step 5: Solve for x
    x = 34,984,605,595.89/198,656.50
  6. Step 6: Final answer
    x = 176,106.02

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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.