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Finding the Fourth Proportional to 109,890, 151,648.20 and 59,589

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Solution

The fourth proportional to 109,890, 151,648.20 and 59,589 is: 82,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,890 : 151,648.20 = 59,589 : x
  2. Step 2: Convert to fraction form
    109,890/151,648.20 = 59,589/x
  3. Step 3: Cross multiply
    109,890x = 151,648.20 × 59,589
  4. Step 4: Simplify right side
    109,890x = 9,036,564,589.80
  5. Step 5: Solve for x
    x = 9,036,564,589.80/109,890
  6. Step 6: Final answer
    x = 82,232.82

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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.