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Finding the Fourth Proportional to 232,667.64, 321,081.17 and 132,065.64

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Solution

The fourth proportional to 232,667.64, 321,081.17 and 132,065.64 is: 182,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,667.64 : 321,081.17 = 132,065.64 : x
  2. Step 2: Convert to fraction form
    232,667.64/321,081.17 = 132,065.64/x
  3. Step 3: Cross multiply
    232,667.64x = 321,081.17 × 132,065.64
  4. Step 4: Simplify right side
    232,667.64x = 42,403,789,547.67
  5. Step 5: Solve for x
    x = 42,403,789,547.67/232,667.64
  6. Step 6: Final answer
    x = 182,250.48

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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.