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Finding the Fourth Proportional to 140,149.60, 193,402.80 and 76,488.16

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Solution

The fourth proportional to 140,149.60, 193,402.80 and 76,488.16 is: 105,551.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,149.60 : 193,402.80 = 76,488.16 : x
  2. Step 2: Convert to fraction form
    140,149.60/193,402.80 = 76,488.16/x
  3. Step 3: Cross multiply
    140,149.60x = 193,402.80 × 76,488.16
  4. Step 4: Simplify right side
    140,149.60x = 14,793,024,310.85
  5. Step 5: Solve for x
    x = 14,793,024,310.85/140,149.60
  6. Step 6: Final answer
    x = 105,551.67

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