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Finding the Fourth Proportional to 140,401.96, 193,753.70 and 76,738.60

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Solution

The fourth proportional to 140,401.96, 193,753.70 and 76,738.60 is: 105,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,401.96 : 193,753.70 = 76,738.60 : x
  2. Step 2: Convert to fraction form
    140,401.96/193,753.70 = 76,738.60/x
  3. Step 3: Cross multiply
    140,401.96x = 193,753.70 × 76,738.60
  4. Step 4: Simplify right side
    140,401.96x = 14,868,387,682.82
  5. Step 5: Solve for x
    x = 14,868,387,682.82/140,401.96
  6. Step 6: Final answer
    x = 105,898.72

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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.