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Finding the Fourth Proportional to 206,667, 310,003.38 and 58,923

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Solution

The fourth proportional to 206,667, 310,003.38 and 58,923 is: 88,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,667 : 310,003.38 = 58,923 : x
  2. Step 2: Convert to fraction form
    206,667/310,003.38 = 58,923/x
  3. Step 3: Cross multiply
    206,667x = 310,003.38 × 58,923
  4. Step 4: Simplify right side
    206,667x = 18,266,329,159.74
  5. Step 5: Solve for x
    x = 18,266,329,159.74/206,667
  6. Step 6: Final answer
    x = 88,385.32

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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.