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Finding the Fourth Proportional to 169,808.24, 254,648.77 and 49,840.49

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Solution

The fourth proportional to 169,808.24, 254,648.77 and 49,840.49 is: 74,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,808.24 : 254,648.77 = 49,840.49 : x
  2. Step 2: Convert to fraction form
    169,808.24/254,648.77 = 49,840.49/x
  3. Step 3: Cross multiply
    169,808.24x = 254,648.77 × 49,840.49
  4. Step 4: Simplify right side
    169,808.24x = 12,691,819,474.70
  5. Step 5: Solve for x
    x = 12,691,819,474.70/169,808.24
  6. Step 6: Final answer
    x = 74,742.07

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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.