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Finding the Fourth Proportional to 135,346.62, 202,886 and 64,144.12

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Solution

The fourth proportional to 135,346.62, 202,886 and 64,144.12 is: 96,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,346.62 : 202,886 = 64,144.12 : x
  2. Step 2: Convert to fraction form
    135,346.62/202,886 = 64,144.12/x
  3. Step 3: Cross multiply
    135,346.62x = 202,886 × 64,144.12
  4. Step 4: Simplify right side
    135,346.62x = 13,013,943,930.32
  5. Step 5: Solve for x
    x = 13,013,943,930.32/135,346.62
  6. Step 6: Final answer
    x = 96,152.71

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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.