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Finding the Fourth Proportional to 140,188.14, 193,452.30 and 76,524.84

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Solution

The fourth proportional to 140,188.14, 193,452.30 and 76,524.84 is: 105,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,188.14 : 193,452.30 = 76,524.84 : x
  2. Step 2: Convert to fraction form
    140,188.14/193,452.30 = 76,524.84/x
  3. Step 3: Cross multiply
    140,188.14x = 193,452.30 × 76,524.84
  4. Step 4: Simplify right side
    140,188.14x = 14,803,906,305.13
  5. Step 5: Solve for x
    x = 14,803,906,305.13/140,188.14
  6. Step 6: Final answer
    x = 105,600.28

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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.