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Finding the Fourth Proportional to 217,894.52, 300,641.36 and 127,198.82

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Solution

The fourth proportional to 217,894.52, 300,641.36 and 127,198.82 is: 175,503.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,894.52 : 300,641.36 = 127,198.82 : x
  2. Step 2: Convert to fraction form
    217,894.52/300,641.36 = 127,198.82/x
  3. Step 3: Cross multiply
    217,894.52x = 300,641.36 × 127,198.82
  4. Step 4: Simplify right side
    217,894.52x = 38,241,226,235.20
  5. Step 5: Solve for x
    x = 38,241,226,235.20/217,894.52
  6. Step 6: Final answer
    x = 175,503.39

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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.