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Finding the Fourth Proportional to 205,809.12, 283,744.32 and 148,400.40

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Solution

The fourth proportional to 205,809.12, 283,744.32 and 148,400.40 is: 204,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.12 : 283,744.32 = 148,400.40 : x
  2. Step 2: Convert to fraction form
    205,809.12/283,744.32 = 148,400.40/x
  3. Step 3: Cross multiply
    205,809.12x = 283,744.32 × 148,400.40
  4. Step 4: Simplify right side
    205,809.12x = 42,107,770,585.73
  5. Step 5: Solve for x
    x = 42,107,770,585.73/205,809.12
  6. Step 6: Final answer
    x = 204,596.23

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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.