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Finding the Fourth Proportional to 233,845.53, 322,698.97 and 147,850.80

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Solution

The fourth proportional to 233,845.53, 322,698.97 and 147,850.80 is: 204,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,845.53 : 322,698.97 = 147,850.80 : x
  2. Step 2: Convert to fraction form
    233,845.53/322,698.97 = 147,850.80/x
  3. Step 3: Cross multiply
    233,845.53x = 322,698.97 × 147,850.80
  4. Step 4: Simplify right side
    233,845.53x = 47,711,300,873.68
  5. Step 5: Solve for x
    x = 47,711,300,873.68/233,845.53
  6. Step 6: Final answer
    x = 204,029.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.