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Finding the Fourth Proportional to 225,692.13, 338,560.53 and 83,575.32

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Solution

The fourth proportional to 225,692.13, 338,560.53 and 83,575.32 is: 125,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,692.13 : 338,560.53 = 83,575.32 : x
  2. Step 2: Convert to fraction form
    225,692.13/338,560.53 = 83,575.32/x
  3. Step 3: Cross multiply
    225,692.13x = 338,560.53 × 83,575.32
  4. Step 4: Simplify right side
    225,692.13x = 28,295,304,634.12
  5. Step 5: Solve for x
    x = 28,295,304,634.12/225,692.13
  6. Step 6: Final answer
    x = 125,371.25

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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.