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Finding the Fourth Proportional to 221,713.38, 305,849.34 and 141,000.75

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Solution

The fourth proportional to 221,713.38, 305,849.34 and 141,000.75 is: 194,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,713.38 : 305,849.34 = 141,000.75 : x
  2. Step 2: Convert to fraction form
    221,713.38/305,849.34 = 141,000.75/x
  3. Step 3: Cross multiply
    221,713.38x = 305,849.34 × 141,000.75
  4. Step 4: Simplify right side
    221,713.38x = 43,124,986,327.01
  5. Step 5: Solve for x
    x = 43,124,986,327.01/221,713.38
  6. Step 6: Final answer
    x = 194,507.82

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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.