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Finding the Fourth Proportional to 138,576.35, 207,344.50 and 82,210.07

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Solution

The fourth proportional to 138,576.35, 207,344.50 and 82,210.07 is: 123,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576.35 : 207,344.50 = 82,210.07 : x
  2. Step 2: Convert to fraction form
    138,576.35/207,344.50 = 82,210.07/x
  3. Step 3: Cross multiply
    138,576.35x = 207,344.50 × 82,210.07
  4. Step 4: Simplify right side
    138,576.35x = 17,045,805,859.12
  5. Step 5: Solve for x
    x = 17,045,805,859.12/138,576.35
  6. Step 6: Final answer
    x = 123,006.60

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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.