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Finding the Fourth Proportional to 169,753.89, 254,670.23 and 49,806

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Solution

The fourth proportional to 169,753.89, 254,670.23 and 49,806 is: 74,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,753.89 : 254,670.23 = 49,806 : x
  2. Step 2: Convert to fraction form
    169,753.89/254,670.23 = 49,806/x
  3. Step 3: Cross multiply
    169,753.89x = 254,670.23 × 49,806
  4. Step 4: Simplify right side
    169,753.89x = 12,684,105,226.35
  5. Step 5: Solve for x
    x = 12,684,105,226.35/169,753.89
  6. Step 6: Final answer
    x = 74,720.56

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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.