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Finding the Fourth Proportional to 219,249.60, 328,960.80 and 86,107.20

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Solution

The fourth proportional to 219,249.60, 328,960.80 and 86,107.20 is: 129,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,249.60 : 328,960.80 = 86,107.20 : x
  2. Step 2: Convert to fraction form
    219,249.60/328,960.80 = 86,107.20/x
  3. Step 3: Cross multiply
    219,249.60x = 328,960.80 × 86,107.20
  4. Step 4: Simplify right side
    219,249.60x = 28,325,893,397.76
  5. Step 5: Solve for x
    x = 28,325,893,397.76/219,249.60
  6. Step 6: Final answer
    x = 129,194.73

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1.5x scale

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.