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Finding the Fourth Proportional to 198,527.60, 297,766.77 and 117,522.82

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Solution

The fourth proportional to 198,527.60, 297,766.77 and 117,522.82 is: 176,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,527.60 : 297,766.77 = 117,522.82 : x
  2. Step 2: Convert to fraction form
    198,527.60/297,766.77 = 117,522.82/x
  3. Step 3: Cross multiply
    198,527.60x = 297,766.77 × 117,522.82
  4. Step 4: Simplify right side
    198,527.60x = 34,994,390,512.69
  5. Step 5: Solve for x
    x = 34,994,390,512.69/198,527.60
  6. Step 6: Final answer
    x = 176,269.65

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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.