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Finding the Fourth Proportional to 223,149.30, 307,842.81 and 132,453.60

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Solution

The fourth proportional to 223,149.30, 307,842.81 and 132,453.60 is: 182,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,149.30 : 307,842.81 = 132,453.60 : x
  2. Step 2: Convert to fraction form
    223,149.30/307,842.81 = 132,453.60/x
  3. Step 3: Cross multiply
    223,149.30x = 307,842.81 × 132,453.60
  4. Step 4: Simplify right side
    223,149.30x = 40,774,888,418.62
  5. Step 5: Solve for x
    x = 40,774,888,418.62/223,149.30
  6. Step 6: Final answer
    x = 182,724.70

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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.