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Finding the Fourth Proportional to 132,019.96, 182,197.20 and 75,430.12

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Solution

The fourth proportional to 132,019.96, 182,197.20 and 75,430.12 is: 104,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,019.96 : 182,197.20 = 75,430.12 : x
  2. Step 2: Convert to fraction form
    132,019.96/182,197.20 = 75,430.12/x
  3. Step 3: Cross multiply
    132,019.96x = 182,197.20 × 75,430.12
  4. Step 4: Simplify right side
    132,019.96x = 13,743,156,659.66
  5. Step 5: Solve for x
    x = 13,743,156,659.66/132,019.96
  6. Step 6: Final answer
    x = 104,099.08

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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.