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Finding the Fourth Proportional to 132,189.16, 182,416 and 71,758.48

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Solution

The fourth proportional to 132,189.16, 182,416 and 71,758.48 is: 99,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,189.16 : 182,416 = 71,758.48 : x
  2. Step 2: Convert to fraction form
    132,189.16/182,416 = 71,758.48/x
  3. Step 3: Cross multiply
    132,189.16x = 182,416 × 71,758.48
  4. Step 4: Simplify right side
    132,189.16x = 13,089,894,887.68
  5. Step 5: Solve for x
    x = 13,089,894,887.68/132,189.16
  6. Step 6: Final answer
    x = 99,023.97

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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.