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Finding the Fourth Proportional to 135,308.68, 202,963.88 and 35,468

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Solution

The fourth proportional to 135,308.68, 202,963.88 and 35,468 is: 53,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,308.68 : 202,963.88 = 35,468 : x
  2. Step 2: Convert to fraction form
    135,308.68/202,963.88 = 35,468/x
  3. Step 3: Cross multiply
    135,308.68x = 202,963.88 × 35,468
  4. Step 4: Simplify right side
    135,308.68x = 7,198,722,895.84
  5. Step 5: Solve for x
    x = 7,198,722,895.84/135,308.68
  6. Step 6: Final answer
    x = 53,202.23

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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.