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Finding the Fourth Proportional to 189,540, 261,565.20 and 114,103.08

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Solution

The fourth proportional to 189,540, 261,565.20 and 114,103.08 is: 157,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,540 : 261,565.20 = 114,103.08 : x
  2. Step 2: Convert to fraction form
    189,540/261,565.20 = 114,103.08/x
  3. Step 3: Cross multiply
    189,540x = 261,565.20 × 114,103.08
  4. Step 4: Simplify right side
    189,540x = 29,845,394,940.82
  5. Step 5: Solve for x
    x = 29,845,394,940.82/189,540
  6. Step 6: Final answer
    x = 157,462.25

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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.