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Finding the Fourth Proportional to 203,844.80, 305,767.20 and 154,078.40

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Solution

The fourth proportional to 203,844.80, 305,767.20 and 154,078.40 is: 231,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,844.80 : 305,767.20 = 154,078.40 : x
  2. Step 2: Convert to fraction form
    203,844.80/305,767.20 = 154,078.40/x
  3. Step 3: Cross multiply
    203,844.80x = 305,767.20 × 154,078.40
  4. Step 4: Simplify right side
    203,844.80x = 47,112,120,948.48
  5. Step 5: Solve for x
    x = 47,112,120,948.48/203,844.80
  6. Step 6: Final answer
    x = 231,117.60

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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.