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Finding the Fourth Proportional to 132,396.66, 182,706.65 and 75,046.83

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Solution

The fourth proportional to 132,396.66, 182,706.65 and 75,046.83 is: 103,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,396.66 : 182,706.65 = 75,046.83 : x
  2. Step 2: Convert to fraction form
    132,396.66/182,706.65 = 75,046.83/x
  3. Step 3: Cross multiply
    132,396.66x = 182,706.65 × 75,046.83
  4. Step 4: Simplify right side
    132,396.66x = 13,711,554,527.19
  5. Step 5: Solve for x
    x = 13,711,554,527.19/132,396.66
  6. Step 6: Final answer
    x = 103,564.20

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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.