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Finding the Fourth Proportional to 218,076.30, 327,114.45 and 202,329.90

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Solution

The fourth proportional to 218,076.30, 327,114.45 and 202,329.90 is: 303,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,076.30 : 327,114.45 = 202,329.90 : x
  2. Step 2: Convert to fraction form
    218,076.30/327,114.45 = 202,329.90/x
  3. Step 3: Cross multiply
    218,076.30x = 327,114.45 × 202,329.90
  4. Step 4: Simplify right side
    218,076.30x = 66,185,033,957.06
  5. Step 5: Solve for x
    x = 66,185,033,957.06/218,076.30
  6. Step 6: Final answer
    x = 303,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.