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Finding the Fourth Proportional to 215,867.70, 323,801.55 and 137,135.70

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Solution

The fourth proportional to 215,867.70, 323,801.55 and 137,135.70 is: 205,703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,867.70 : 323,801.55 = 137,135.70 : x
  2. Step 2: Convert to fraction form
    215,867.70/323,801.55 = 137,135.70/x
  3. Step 3: Cross multiply
    215,867.70x = 323,801.55 × 137,135.70
  4. Step 4: Simplify right side
    215,867.70x = 44,404,752,220.34
  5. Step 5: Solve for x
    x = 44,404,752,220.34/215,867.70
  6. Step 6: Final answer
    x = 205,703.55

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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.