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Finding the Fourth Proportional to 192,446.57, 265,565.56 and 106,400.58

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Solution

The fourth proportional to 192,446.57, 265,565.56 and 106,400.58 is: 146,826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,446.57 : 265,565.56 = 106,400.58 : x
  2. Step 2: Convert to fraction form
    192,446.57/265,565.56 = 106,400.58/x
  3. Step 3: Cross multiply
    192,446.57x = 265,565.56 × 106,400.58
  4. Step 4: Simplify right side
    192,446.57x = 28,256,329,346.02
  5. Step 5: Solve for x
    x = 28,256,329,346.02/192,446.57
  6. Step 6: Final answer
    x = 146,826.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.