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Finding the Fourth Proportional to 132,102.72, 182,234.88 and 84,306.24

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Solution

The fourth proportional to 132,102.72, 182,234.88 and 84,306.24 is: 116,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,102.72 : 182,234.88 = 84,306.24 : x
  2. Step 2: Convert to fraction form
    132,102.72/182,234.88 = 84,306.24/x
  3. Step 3: Cross multiply
    132,102.72x = 182,234.88 × 84,306.24
  4. Step 4: Simplify right side
    132,102.72x = 15,363,537,529.65
  5. Step 5: Solve for x
    x = 15,363,537,529.65/132,102.72
  6. Step 6: Final answer
    x = 116,299.93

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