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Finding the Fourth Proportional to 225,429.25, 338,166.45 and 83,311.88

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Solution

The fourth proportional to 225,429.25, 338,166.45 and 83,311.88 is: 124,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,429.25 : 338,166.45 = 83,311.88 : x
  2. Step 2: Convert to fraction form
    225,429.25/338,166.45 = 83,311.88/x
  3. Step 3: Cross multiply
    225,429.25x = 338,166.45 × 83,311.88
  4. Step 4: Simplify right side
    225,429.25x = 28,173,282,702.43
  5. Step 5: Solve for x
    x = 28,173,282,702.43/225,429.25
  6. Step 6: Final answer
    x = 124,976.16

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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.