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Finding the Fourth Proportional to 132,311.61, 182,520.14 and 83,827.98

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Solution

The fourth proportional to 132,311.61, 182,520.14 and 83,827.98 is: 115,638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,311.61 : 182,520.14 = 83,827.98 : x
  2. Step 2: Convert to fraction form
    132,311.61/182,520.14 = 83,827.98/x
  3. Step 3: Cross multiply
    132,311.61x = 182,520.14 × 83,827.98
  4. Step 4: Simplify right side
    132,311.61x = 15,300,294,226.38
  5. Step 5: Solve for x
    x = 15,300,294,226.38/132,311.61
  6. Step 6: Final answer
    x = 115,638.33

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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.