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Finding the Fourth Proportional to 235,917.38, 353,970.04 and 86,167.82

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Solution

The fourth proportional to 235,917.38, 353,970.04 and 86,167.82 is: 129,286.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,917.38 : 353,970.04 = 86,167.82 : x
  2. Step 2: Convert to fraction form
    235,917.38/353,970.04 = 86,167.82/x
  3. Step 3: Cross multiply
    235,917.38x = 353,970.04 × 86,167.82
  4. Step 4: Simplify right side
    235,917.38x = 30,500,826,692.11
  5. Step 5: Solve for x
    x = 30,500,826,692.11/235,917.38
  6. Step 6: Final answer
    x = 129,286.05

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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.