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Finding the Fourth Proportional to 203,801.20, 305,701.80 and 132,943.60

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Solution

The fourth proportional to 203,801.20, 305,701.80 and 132,943.60 is: 199,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,801.20 : 305,701.80 = 132,943.60 : x
  2. Step 2: Convert to fraction form
    203,801.20/305,701.80 = 132,943.60/x
  3. Step 3: Cross multiply
    203,801.20x = 305,701.80 × 132,943.60
  4. Step 4: Simplify right side
    203,801.20x = 40,641,097,818.48
  5. Step 5: Solve for x
    x = 40,641,097,818.48/203,801.20
  6. Step 6: Final answer
    x = 199,415.40

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1.5x scale

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.