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Finding the Fourth Proportional to 140,211.82, 193,491.32 and 76,549.61

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Solution

The fourth proportional to 140,211.82, 193,491.32 and 76,549.61 is: 105,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,211.82 : 193,491.32 = 76,549.61 : x
  2. Step 2: Convert to fraction form
    140,211.82/193,491.32 = 76,549.61/x
  3. Step 3: Cross multiply
    140,211.82x = 193,491.32 × 76,549.61
  4. Step 4: Simplify right side
    140,211.82x = 14,811,685,084.39
  5. Step 5: Solve for x
    x = 14,811,685,084.39/140,211.82
  6. Step 6: Final answer
    x = 105,637.92

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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.