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Finding the Fourth Proportional to 169,910.46, 254,809.80 and 57,561.84

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Solution

The fourth proportional to 169,910.46, 254,809.80 and 57,561.84 is: 86,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,910.46 : 254,809.80 = 57,561.84 : x
  2. Step 2: Convert to fraction form
    169,910.46/254,809.80 = 57,561.84/x
  3. Step 3: Cross multiply
    169,910.46x = 254,809.80 × 57,561.84
  4. Step 4: Simplify right side
    169,910.46x = 14,667,320,938.03
  5. Step 5: Solve for x
    x = 14,667,320,938.03/169,910.46
  6. Step 6: Final answer
    x = 86,323.83

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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.