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Finding the Fourth Proportional to 140,442.96, 193,811.98 and 76,780.76

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Solution

The fourth proportional to 140,442.96, 193,811.98 and 76,780.76 is: 105,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,442.96 : 193,811.98 = 76,780.76 : x
  2. Step 2: Convert to fraction form
    140,442.96/193,811.98 = 76,780.76/x
  3. Step 3: Cross multiply
    140,442.96x = 193,811.98 × 76,780.76
  4. Step 4: Simplify right side
    140,442.96x = 14,881,031,121.50
  5. Step 5: Solve for x
    x = 14,881,031,121.50/140,442.96
  6. Step 6: Final answer
    x = 105,957.83

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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.