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Finding the Fourth Proportional to 162,209.38, 223,846.73 and 90,590.66

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Solution

The fourth proportional to 162,209.38, 223,846.73 and 90,590.66 is: 125,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,209.38 : 223,846.73 = 90,590.66 : x
  2. Step 2: Convert to fraction form
    162,209.38/223,846.73 = 90,590.66/x
  3. Step 3: Cross multiply
    162,209.38x = 223,846.73 × 90,590.66
  4. Step 4: Simplify right side
    162,209.38x = 20,278,423,009.54
  5. Step 5: Solve for x
    x = 20,278,423,009.54/162,209.38
  6. Step 6: Final answer
    x = 125,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.