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Finding the Fourth Proportional to 154,609.97, 231,696.25 and 65,774.03

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Solution

The fourth proportional to 154,609.97, 231,696.25 and 65,774.03 is: 98,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,609.97 : 231,696.25 = 65,774.03 : x
  2. Step 2: Convert to fraction form
    154,609.97/231,696.25 = 65,774.03/x
  3. Step 3: Cross multiply
    154,609.97x = 231,696.25 × 65,774.03
  4. Step 4: Simplify right side
    154,609.97x = 15,239,594,775.47
  5. Step 5: Solve for x
    x = 15,239,594,775.47/154,609.97
  6. Step 6: Final answer
    x = 98,568.00

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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.