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Finding the Fourth Proportional to 221,189.38, 305,154.69 and 136,158.82

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Solution

The fourth proportional to 221,189.38, 305,154.69 and 136,158.82 is: 187,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,189.38 : 305,154.69 = 136,158.82 : x
  2. Step 2: Convert to fraction form
    221,189.38/305,154.69 = 136,158.82/x
  3. Step 3: Cross multiply
    221,189.38x = 305,154.69 × 136,158.82
  4. Step 4: Simplify right side
    221,189.38x = 41,549,502,507.87
  5. Step 5: Solve for x
    x = 41,549,502,507.87/221,189.38
  6. Step 6: Final answer
    x = 187,845.83

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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.