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Finding the Fourth Proportional to 141,234.86, 194,902.28 and 77,568.56

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Solution

The fourth proportional to 141,234.86, 194,902.28 and 77,568.56 is: 107,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,234.86 : 194,902.28 = 77,568.56 : x
  2. Step 2: Convert to fraction form
    141,234.86/194,902.28 = 77,568.56/x
  3. Step 3: Cross multiply
    141,234.86x = 194,902.28 × 77,568.56
  4. Step 4: Simplify right side
    141,234.86x = 15,118,287,837.96
  5. Step 5: Solve for x
    x = 15,118,287,837.96/141,234.86
  6. Step 6: Final answer
    x = 107,043.60

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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.