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Finding the Fourth Proportional to 189,642.34, 261,717.65 and 109,092.70

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Solution

The fourth proportional to 189,642.34, 261,717.65 and 109,092.70 is: 150,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,642.34 : 261,717.65 = 109,092.70 : x
  2. Step 2: Convert to fraction form
    189,642.34/261,717.65 = 109,092.70/x
  3. Step 3: Cross multiply
    189,642.34x = 261,717.65 × 109,092.70
  4. Step 4: Simplify right side
    189,642.34x = 28,551,485,076.16
  5. Step 5: Solve for x
    x = 28,551,485,076.16/189,642.34
  6. Step 6: Final answer
    x = 150,554.38

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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.