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Finding the Fourth Proportional to 132,947.42, 183,468.01 and 72,519.38

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Solution

The fourth proportional to 132,947.42, 183,468.01 and 72,519.38 is: 100,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,947.42 : 183,468.01 = 72,519.38 : x
  2. Step 2: Convert to fraction form
    132,947.42/183,468.01 = 72,519.38/x
  3. Step 3: Cross multiply
    132,947.42x = 183,468.01 × 72,519.38
  4. Step 4: Simplify right side
    132,947.42x = 13,304,986,335.03
  5. Step 5: Solve for x
    x = 13,304,986,335.03/132,947.42
  6. Step 6: Final answer
    x = 100,077.06

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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.