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Finding the Fourth Proportional to 232,758, 321,206.04 and 126,774

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Solution

The fourth proportional to 232,758, 321,206.04 and 126,774 is: 174,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,758 : 321,206.04 = 126,774 : x
  2. Step 2: Convert to fraction form
    232,758/321,206.04 = 126,774/x
  3. Step 3: Cross multiply
    232,758x = 321,206.04 × 126,774
  4. Step 4: Simplify right side
    232,758x = 40,720,574,514.96
  5. Step 5: Solve for x
    x = 40,720,574,514.96/232,758
  6. Step 6: Final answer
    x = 174,948.12

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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.