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Finding the Fourth Proportional to 132,412.52, 182,730.06 and 71,983.64

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Solution

The fourth proportional to 132,412.52, 182,730.06 and 71,983.64 is: 99,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,412.52 : 182,730.06 = 71,983.64 : x
  2. Step 2: Convert to fraction form
    132,412.52/182,730.06 = 71,983.64/x
  3. Step 3: Cross multiply
    132,412.52x = 182,730.06 × 71,983.64
  4. Step 4: Simplify right side
    132,412.52x = 13,153,574,856.22
  5. Step 5: Solve for x
    x = 13,153,574,856.22/132,412.52
  6. Step 6: Final answer
    x = 99,337.85

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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.