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Finding the Fourth Proportional to 149,521.88, 206,345.16 and 81,542.57

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Solution

The fourth proportional to 149,521.88, 206,345.16 and 81,542.57 is: 112,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,521.88 : 206,345.16 = 81,542.57 : x
  2. Step 2: Convert to fraction form
    149,521.88/206,345.16 = 81,542.57/x
  3. Step 3: Cross multiply
    149,521.88x = 206,345.16 × 81,542.57
  4. Step 4: Simplify right side
    149,521.88x = 16,825,913,621.74
  5. Step 5: Solve for x
    x = 16,825,913,621.74/149,521.88
  6. Step 6: Final answer
    x = 112,531.45

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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.