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Finding the Fourth Proportional to 203,759.20, 305,055.60 and 180,431.20

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Solution

The fourth proportional to 203,759.20, 305,055.60 and 180,431.20 is: 270,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,759.20 : 305,055.60 = 180,431.20 : x
  2. Step 2: Convert to fraction form
    203,759.20/305,055.60 = 180,431.20/x
  3. Step 3: Cross multiply
    203,759.20x = 305,055.60 × 180,431.20
  4. Step 4: Simplify right side
    203,759.20x = 55,041,547,974.72
  5. Step 5: Solve for x
    x = 55,041,547,974.72/203,759.20
  6. Step 6: Final answer
    x = 270,130.37

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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.