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Finding the Fourth Proportional to 235,456.32, 325,023.84 and 144,849

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Solution

The fourth proportional to 235,456.32, 325,023.84 and 144,849 is: 199,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,456.32 : 325,023.84 = 144,849 : x
  2. Step 2: Convert to fraction form
    235,456.32/325,023.84 = 144,849/x
  3. Step 3: Cross multiply
    235,456.32x = 325,023.84 × 144,849
  4. Step 4: Simplify right side
    235,456.32x = 47,079,378,200.16
  5. Step 5: Solve for x
    x = 47,079,378,200.16/235,456.32
  6. Step 6: Final answer
    x = 199,949.52

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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.