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Finding the Fourth Proportional to 146,698.82, 202,447.59 and 89,340.83

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Solution

The fourth proportional to 146,698.82, 202,447.59 and 89,340.83 is: 123,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,698.82 : 202,447.59 = 89,340.83 : x
  2. Step 2: Convert to fraction form
    146,698.82/202,447.59 = 89,340.83/x
  3. Step 3: Cross multiply
    146,698.82x = 202,447.59 × 89,340.83
  4. Step 4: Simplify right side
    146,698.82x = 18,086,835,722.10
  5. Step 5: Solve for x
    x = 18,086,835,722.10/146,698.82
  6. Step 6: Final answer
    x = 123,292.31

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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.