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Finding the Fourth Proportional to 225,076.88, 310,594.50 and 123,082.50

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Solution

The fourth proportional to 225,076.88, 310,594.50 and 123,082.50 is: 169,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,076.88 : 310,594.50 = 123,082.50 : x
  2. Step 2: Convert to fraction form
    225,076.88/310,594.50 = 123,082.50/x
  3. Step 3: Cross multiply
    225,076.88x = 310,594.50 × 123,082.50
  4. Step 4: Simplify right side
    225,076.88x = 38,228,747,546.25
  5. Step 5: Solve for x
    x = 38,228,747,546.25/225,076.88
  6. Step 6: Final answer
    x = 169,847.51

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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.