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Finding the Fourth Proportional to 140,129.89, 193,377.44 and 76,463.58

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Solution

The fourth proportional to 140,129.89, 193,377.44 and 76,463.58 is: 105,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,129.89 : 193,377.44 = 76,463.58 : x
  2. Step 2: Convert to fraction form
    140,129.89/193,377.44 = 76,463.58/x
  3. Step 3: Cross multiply
    140,129.89x = 193,377.44 × 76,463.58
  4. Step 4: Simplify right side
    140,129.89x = 14,786,331,353.64
  5. Step 5: Solve for x
    x = 14,786,331,353.64/140,129.89
  6. Step 6: Final answer
    x = 105,518.75

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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.