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Finding the Fourth Proportional to 189,878.38, 261,908.66 and 121,787.46

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Solution

The fourth proportional to 189,878.38, 261,908.66 and 121,787.46 is: 167,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,878.38 : 261,908.66 = 121,787.46 : x
  2. Step 2: Convert to fraction form
    189,878.38/261,908.66 = 121,787.46/x
  3. Step 3: Cross multiply
    189,878.38x = 261,908.66 × 121,787.46
  4. Step 4: Simplify right side
    189,878.38x = 31,897,190,453.40
  5. Step 5: Solve for x
    x = 31,897,190,453.40/189,878.38
  6. Step 6: Final answer
    x = 167,987.48

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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.