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Finding the Fourth Proportional to 135,178.56, 202,258.80 and 83,002.32

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Solution

The fourth proportional to 135,178.56, 202,258.80 and 83,002.32 is: 124,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,178.56 : 202,258.80 = 83,002.32 : x
  2. Step 2: Convert to fraction form
    135,178.56/202,258.80 = 83,002.32/x
  3. Step 3: Cross multiply
    135,178.56x = 202,258.80 × 83,002.32
  4. Step 4: Simplify right side
    135,178.56x = 16,787,949,640.42
  5. Step 5: Solve for x
    x = 16,787,949,640.42/135,178.56
  6. Step 6: Final answer
    x = 124,190.92

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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.