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Finding the Fourth Proportional to 141,376.38, 195,096.78 and 77,712.84

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Solution

The fourth proportional to 141,376.38, 195,096.78 and 77,712.84 is: 107,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,376.38 : 195,096.78 = 77,712.84 : x
  2. Step 2: Convert to fraction form
    141,376.38/195,096.78 = 77,712.84/x
  3. Step 3: Cross multiply
    141,376.38x = 195,096.78 × 77,712.84
  4. Step 4: Simplify right side
    141,376.38x = 15,161,524,848.66
  5. Step 5: Solve for x
    x = 15,161,524,848.66/141,376.38
  6. Step 6: Final answer
    x = 107,242.28

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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.