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Finding the Fourth Proportional to 192,511.38, 265,658.04 and 106,464.78

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Solution

The fourth proportional to 192,511.38, 265,658.04 and 106,464.78 is: 146,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,511.38 : 265,658.04 = 106,464.78 : x
  2. Step 2: Convert to fraction form
    192,511.38/265,658.04 = 106,464.78/x
  3. Step 3: Cross multiply
    192,511.38x = 265,658.04 × 106,464.78
  4. Step 4: Simplify right side
    192,511.38x = 28,283,224,783.83
  5. Step 5: Solve for x
    x = 28,283,224,783.83/192,511.38
  6. Step 6: Final answer
    x = 146,917.16

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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.