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Finding the Fourth Proportional to 140,139.84, 193,393.20 and 76,478.88

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Solution

The fourth proportional to 140,139.84, 193,393.20 and 76,478.88 is: 105,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,139.84 : 193,393.20 = 76,478.88 : x
  2. Step 2: Convert to fraction form
    140,139.84/193,393.20 = 76,478.88/x
  3. Step 3: Cross multiply
    140,139.84x = 193,393.20 × 76,478.88
  4. Step 4: Simplify right side
    140,139.84x = 14,790,495,335.62
  5. Step 5: Solve for x
    x = 14,790,495,335.62/140,139.84
  6. Step 6: Final answer
    x = 105,540.97

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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.