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Finding the Fourth Proportional to 135,616.40, 203,424.60 and 128,013.20

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Solution

The fourth proportional to 135,616.40, 203,424.60 and 128,013.20 is: 192,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,616.40 : 203,424.60 = 128,013.20 : x
  2. Step 2: Convert to fraction form
    135,616.40/203,424.60 = 128,013.20/x
  3. Step 3: Cross multiply
    135,616.40x = 203,424.60 × 128,013.20
  4. Step 4: Simplify right side
    135,616.40x = 26,041,034,004.72
  5. Step 5: Solve for x
    x = 26,041,034,004.72/135,616.40
  6. Step 6: Final answer
    x = 192,019.80

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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.