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Finding the Fourth Proportional to 154,411.20, 231,616.80 and 65,667.60

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Solution

The fourth proportional to 154,411.20, 231,616.80 and 65,667.60 is: 98,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,411.20 : 231,616.80 = 65,667.60 : x
  2. Step 2: Convert to fraction form
    154,411.20/231,616.80 = 65,667.60/x
  3. Step 3: Cross multiply
    154,411.20x = 231,616.80 × 65,667.60
  4. Step 4: Simplify right side
    154,411.20x = 15,209,719,375.68
  5. Step 5: Solve for x
    x = 15,209,719,375.68/154,411.20
  6. Step 6: Final answer
    x = 98,501.40

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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.