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Finding the Fourth Proportional to 232,694.86, 348,719.35 and 106,025.54

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Solution

The fourth proportional to 232,694.86, 348,719.35 and 106,025.54 is: 158,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,694.86 : 348,719.35 = 106,025.54 : x
  2. Step 2: Convert to fraction form
    232,694.86/348,719.35 = 106,025.54/x
  3. Step 3: Cross multiply
    232,694.86x = 348,719.35 × 106,025.54
  4. Step 4: Simplify right side
    232,694.86x = 36,973,155,648.60
  5. Step 5: Solve for x
    x = 36,973,155,648.60/232,694.86
  6. Step 6: Final answer
    x = 158,891.16

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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.