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Finding the Fourth Proportional to 322,091.97, 482,987.96 and 119,547.02

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Solution

The fourth proportional to 322,091.97, 482,987.96 and 119,547.02 is: 179,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,091.97 : 482,987.96 = 119,547.02 : x
  2. Step 2: Convert to fraction form
    322,091.97/482,987.96 = 119,547.02/x
  3. Step 3: Cross multiply
    322,091.97x = 482,987.96 × 119,547.02
  4. Step 4: Simplify right side
    322,091.97x = 57,739,771,313.88
  5. Step 5: Solve for x
    x = 57,739,771,313.88/322,091.97
  6. Step 6: Final answer
    x = 179,264.86

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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.