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Finding the Fourth Proportional to 224,067.84, 335,920.32 and 83,806.08

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Solution

The fourth proportional to 224,067.84, 335,920.32 and 83,806.08 is: 125,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,067.84 : 335,920.32 = 83,806.08 : x
  2. Step 2: Convert to fraction form
    224,067.84/335,920.32 = 83,806.08/x
  3. Step 3: Cross multiply
    224,067.84x = 335,920.32 × 83,806.08
  4. Step 4: Simplify right side
    224,067.84x = 28,152,165,211.55
  5. Step 5: Solve for x
    x = 28,152,165,211.55/224,067.84
  6. Step 6: Final answer
    x = 125,641.26

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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.