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Finding the Fourth Proportional to 135,218.40, 202,827.60 and 35,378.40

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Solution

The fourth proportional to 135,218.40, 202,827.60 and 35,378.40 is: 53,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,218.40 : 202,827.60 = 35,378.40 : x
  2. Step 2: Convert to fraction form
    135,218.40/202,827.60 = 35,378.40/x
  3. Step 3: Cross multiply
    135,218.40x = 202,827.60 × 35,378.40
  4. Step 4: Simplify right side
    135,218.40x = 7,175,715,963.84
  5. Step 5: Solve for x
    x = 7,175,715,963.84/135,218.40
  6. Step 6: Final answer
    x = 53,067.60

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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.