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Finding the Fourth Proportional to 224,770.20, 310,188.97 and 134,178.76

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Solution

The fourth proportional to 224,770.20, 310,188.97 and 134,178.76 is: 185,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,770.20 : 310,188.97 = 134,178.76 : x
  2. Step 2: Convert to fraction form
    224,770.20/310,188.97 = 134,178.76/x
  3. Step 3: Cross multiply
    224,770.20x = 310,188.97 × 134,178.76
  4. Step 4: Simplify right side
    224,770.20x = 41,620,770,689.38
  5. Step 5: Solve for x
    x = 41,620,770,689.38/224,770.20
  6. Step 6: Final answer
    x = 185,170.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.