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Finding the Fourth Proportional to 83,394.36, 114,398.91 and 78,874.92

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Solution

The fourth proportional to 83,394.36, 114,398.91 and 78,874.92 is: 108,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,394.36 : 114,398.91 = 78,874.92 : x
  2. Step 2: Convert to fraction form
    83,394.36/114,398.91 = 78,874.92/x
  3. Step 3: Cross multiply
    83,394.36x = 114,398.91 × 78,874.92
  4. Step 4: Simplify right side
    83,394.36x = 9,023,204,874.34
  5. Step 5: Solve for x
    x = 9,023,204,874.34/83,394.36
  6. Step 6: Final answer
    x = 108,199.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.