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Finding the Fourth Proportional to 132,524, 182,883.12 and 72,908

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Solution

The fourth proportional to 132,524, 182,883.12 and 72,908 is: 100,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,524 : 182,883.12 = 72,908 : x
  2. Step 2: Convert to fraction form
    132,524/182,883.12 = 72,908/x
  3. Step 3: Cross multiply
    132,524x = 182,883.12 × 72,908
  4. Step 4: Simplify right side
    132,524x = 13,333,642,512.96
  5. Step 5: Solve for x
    x = 13,333,642,512.96/132,524
  6. Step 6: Final answer
    x = 100,613.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.