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Finding the Fourth Proportional to 215,746.80, 323,620.20 and 137,209.20

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Solution

The fourth proportional to 215,746.80, 323,620.20 and 137,209.20 is: 205,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,746.80 : 323,620.20 = 137,209.20 : x
  2. Step 2: Convert to fraction form
    215,746.80/323,620.20 = 137,209.20/x
  3. Step 3: Cross multiply
    215,746.80x = 323,620.20 × 137,209.20
  4. Step 4: Simplify right side
    215,746.80x = 44,403,668,745.84
  5. Step 5: Solve for x
    x = 44,403,668,745.84/215,746.80
  6. Step 6: Final answer
    x = 205,813.80

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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.