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Finding the Fourth Proportional to 144,971.36, 217,454.16 and 82,508

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Solution

The fourth proportional to 144,971.36, 217,454.16 and 82,508 is: 123,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,971.36 : 217,454.16 = 82,508 : x
  2. Step 2: Convert to fraction form
    144,971.36/217,454.16 = 82,508/x
  3. Step 3: Cross multiply
    144,971.36x = 217,454.16 × 82,508
  4. Step 4: Simplify right side
    144,971.36x = 17,941,707,833.28
  5. Step 5: Solve for x
    x = 17,941,707,833.28/144,971.36
  6. Step 6: Final answer
    x = 123,760.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.