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Finding the Fourth Proportional to 192,731.32, 265,956.37 and 106,684.48

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Solution

The fourth proportional to 192,731.32, 265,956.37 and 106,684.48 is: 147,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,731.32 : 265,956.37 = 106,684.48 : x
  2. Step 2: Convert to fraction form
    192,731.32/265,956.37 = 106,684.48/x
  3. Step 3: Cross multiply
    192,731.32x = 265,956.37 × 106,684.48
  4. Step 4: Simplify right side
    192,731.32x = 28,373,417,036.14
  5. Step 5: Solve for x
    x = 28,373,417,036.14/192,731.32
  6. Step 6: Final answer
    x = 147,217.47

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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.