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Finding the Fourth Proportional to 154,046.40, 230,810.40 and 131,755.20

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Solution

The fourth proportional to 154,046.40, 230,810.40 and 131,755.20 is: 197,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,046.40 : 230,810.40 = 131,755.20 : x
  2. Step 2: Convert to fraction form
    154,046.40/230,810.40 = 131,755.20/x
  3. Step 3: Cross multiply
    154,046.40x = 230,810.40 × 131,755.20
  4. Step 4: Simplify right side
    154,046.40x = 30,410,470,414.08
  5. Step 5: Solve for x
    x = 30,410,470,414.08/154,046.40
  6. Step 6: Final answer
    x = 197,411.11

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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.