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Finding the Fourth Proportional to 189,652.49, 284,520.33 and 71,323.85

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Solution

The fourth proportional to 189,652.49, 284,520.33 and 71,323.85 is: 107,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,652.49 : 284,520.33 = 71,323.85 : x
  2. Step 2: Convert to fraction form
    189,652.49/284,520.33 = 71,323.85/x
  3. Step 3: Cross multiply
    189,652.49x = 284,520.33 × 71,323.85
  4. Step 4: Simplify right side
    189,652.49x = 20,293,084,449.74
  5. Step 5: Solve for x
    x = 20,293,084,449.74/189,652.49
  6. Step 6: Final answer
    x = 107,001.41

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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.