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Finding the Fourth Proportional to 153,906.12, 230,932.32 and 106,594.02

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Solution

The fourth proportional to 153,906.12, 230,932.32 and 106,594.02 is: 159,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906.12 : 230,932.32 = 106,594.02 : x
  2. Step 2: Convert to fraction form
    153,906.12/230,932.32 = 106,594.02/x
  3. Step 3: Cross multiply
    153,906.12x = 230,932.32 × 106,594.02
  4. Step 4: Simplify right side
    153,906.12x = 24,616,004,336.73
  5. Step 5: Solve for x
    x = 24,616,004,336.73/153,906.12
  6. Step 6: Final answer
    x = 159,941.69

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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.