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Finding the Fourth Proportional to 99,648.08, 137,514.28 and 57,209.20

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Solution

The fourth proportional to 99,648.08, 137,514.28 and 57,209.20 is: 78,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648.08 : 137,514.28 = 57,209.20 : x
  2. Step 2: Convert to fraction form
    99,648.08/137,514.28 = 57,209.20/x
  3. Step 3: Cross multiply
    99,648.08x = 137,514.28 × 57,209.20
  4. Step 4: Simplify right side
    99,648.08x = 7,867,081,947.38
  5. Step 5: Solve for x
    x = 7,867,081,947.38/99,648.08
  6. Step 6: Final answer
    x = 78,948.66

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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.