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Finding the Fourth Proportional to 149,578.68, 206,415.28 and 82,510.68

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Solution

The fourth proportional to 149,578.68, 206,415.28 and 82,510.68 is: 113,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,578.68 : 206,415.28 = 82,510.68 : x
  2. Step 2: Convert to fraction form
    149,578.68/206,415.28 = 82,510.68/x
  3. Step 3: Cross multiply
    149,578.68x = 206,415.28 × 82,510.68
  4. Step 4: Simplify right side
    149,578.68x = 17,031,465,115.19
  5. Step 5: Solve for x
    x = 17,031,465,115.19/149,578.68
  6. Step 6: Final answer
    x = 113,862.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.