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Finding the Fourth Proportional to 125,464.65, 188,204.30 and 35,499.84

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Solution

The fourth proportional to 125,464.65, 188,204.30 and 35,499.84 is: 53,251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,464.65 : 188,204.30 = 35,499.84 : x
  2. Step 2: Convert to fraction form
    125,464.65/188,204.30 = 35,499.84/x
  3. Step 3: Cross multiply
    125,464.65x = 188,204.30 × 35,499.84
  4. Step 4: Simplify right side
    125,464.65x = 6,681,222,531.24
  5. Step 5: Solve for x
    x = 6,681,222,531.24/125,464.65
  6. Step 6: Final answer
    x = 53,251.83

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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.