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Finding the Fourth Proportional to 263,722.20, 363,928.32 and 149,005.68

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Solution

The fourth proportional to 263,722.20, 363,928.32 and 149,005.68 is: 205,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,722.20 : 363,928.32 = 149,005.68 : x
  2. Step 2: Convert to fraction form
    263,722.20/363,928.32 = 149,005.68/x
  3. Step 3: Cross multiply
    263,722.20x = 363,928.32 × 149,005.68
  4. Step 4: Simplify right side
    263,722.20x = 54,227,386,792.86
  5. Step 5: Solve for x
    x = 54,227,386,792.86/263,722.20
  6. Step 6: Final answer
    x = 205,623.14

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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.