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Finding the Fourth Proportional to 132,301.16, 182,576.86 and 71,872.25

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Solution

The fourth proportional to 132,301.16, 182,576.86 and 71,872.25 is: 99,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,301.16 : 182,576.86 = 71,872.25 : x
  2. Step 2: Convert to fraction form
    132,301.16/182,576.86 = 71,872.25/x
  3. Step 3: Cross multiply
    132,301.16x = 182,576.86 × 71,872.25
  4. Step 4: Simplify right side
    132,301.16x = 13,122,210,002.90
  5. Step 5: Solve for x
    x = 13,122,210,002.90/132,301.16
  6. Step 6: Final answer
    x = 99,184.39

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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.