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Finding the Fourth Proportional to 132,197.10, 182,433.42 and 71,768.40

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Solution

The fourth proportional to 132,197.10, 182,433.42 and 71,768.40 is: 99,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,197.10 : 182,433.42 = 71,768.40 : x
  2. Step 2: Convert to fraction form
    132,197.10/182,433.42 = 71,768.40/x
  3. Step 3: Cross multiply
    132,197.10x = 182,433.42 × 71,768.40
  4. Step 4: Simplify right side
    132,197.10x = 13,092,954,659.93
  5. Step 5: Solve for x
    x = 13,092,954,659.93/132,197.10
  6. Step 6: Final answer
    x = 99,041.16

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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.