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Finding the Fourth Proportional to 140,182, 193,443.96 and 76,507.60

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Solution

The fourth proportional to 140,182, 193,443.96 and 76,507.60 is: 105,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,182 : 193,443.96 = 76,507.60 : x
  2. Step 2: Convert to fraction form
    140,182/193,443.96 = 76,507.60/x
  3. Step 3: Cross multiply
    140,182x = 193,443.96 × 76,507.60
  4. Step 4: Simplify right side
    140,182x = 14,799,933,114.10
  5. Step 5: Solve for x
    x = 14,799,933,114.10/140,182
  6. Step 6: Final answer
    x = 105,576.56

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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.