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Finding the Fourth Proportional to 192,005.52, 264,965.76 and 105,965.30

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Solution

The fourth proportional to 192,005.52, 264,965.76 and 105,965.30 is: 146,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,005.52 : 264,965.76 = 105,965.30 : x
  2. Step 2: Convert to fraction form
    192,005.52/264,965.76 = 105,965.30/x
  3. Step 3: Cross multiply
    192,005.52x = 264,965.76 × 105,965.30
  4. Step 4: Simplify right side
    192,005.52x = 28,077,176,248.13
  5. Step 5: Solve for x
    x = 28,077,176,248.13/192,005.52
  6. Step 6: Final answer
    x = 146,231.09

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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.