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Finding the Fourth Proportional to 154,408.10, 231,612.15 and 65,639.30

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Solution

The fourth proportional to 154,408.10, 231,612.15 and 65,639.30 is: 98,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,408.10 : 231,612.15 = 65,639.30 : x
  2. Step 2: Convert to fraction form
    154,408.10/231,612.15 = 65,639.30/x
  3. Step 3: Cross multiply
    154,408.10x = 231,612.15 × 65,639.30
  4. Step 4: Simplify right side
    154,408.10x = 15,202,859,397.50
  5. Step 5: Solve for x
    x = 15,202,859,397.50/154,408.10
  6. Step 6: Final answer
    x = 98,458.95

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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.