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Finding the Fourth Proportional to 132,398.16, 182,708.72 and 75,048.33

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Solution

The fourth proportional to 132,398.16, 182,708.72 and 75,048.33 is: 103,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,398.16 : 182,708.72 = 75,048.33 : x
  2. Step 2: Convert to fraction form
    132,398.16/182,708.72 = 75,048.33/x
  3. Step 3: Cross multiply
    132,398.16x = 182,708.72 × 75,048.33
  4. Step 4: Simplify right side
    132,398.16x = 13,711,983,937.20
  5. Step 5: Solve for x
    x = 13,711,983,937.20/132,398.16
  6. Step 6: Final answer
    x = 103,566.27

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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.