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Finding the Fourth Proportional to 149,565.98, 206,386.71 and 82,493.66

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Solution

The fourth proportional to 149,565.98, 206,386.71 and 82,493.66 is: 113,833.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,565.98 : 206,386.71 = 82,493.66 : x
  2. Step 2: Convert to fraction form
    149,565.98/206,386.71 = 82,493.66/x
  3. Step 3: Cross multiply
    149,565.98x = 206,386.71 × 82,493.66
  4. Step 4: Simplify right side
    149,565.98x = 17,025,595,083.26
  5. Step 5: Solve for x
    x = 17,025,595,083.26/149,565.98
  6. Step 6: Final answer
    x = 113,833.34

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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.