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Finding the Fourth Proportional to 132,228, 198,342 and 125,583.84

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Solution

The fourth proportional to 132,228, 198,342 and 125,583.84 is: 188,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,228 : 198,342 = 125,583.84 : x
  2. Step 2: Convert to fraction form
    132,228/198,342 = 125,583.84/x
  3. Step 3: Cross multiply
    132,228x = 198,342 × 125,583.84
  4. Step 4: Simplify right side
    132,228x = 24,908,549,993.28
  5. Step 5: Solve for x
    x = 24,908,549,993.28/132,228
  6. Step 6: Final answer
    x = 188,375.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.