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Finding the Fourth Proportional to 134,469.96, 185,560.38 and 77,870.40

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Solution

The fourth proportional to 134,469.96, 185,560.38 and 77,870.40 is: 107,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,469.96 : 185,560.38 = 77,870.40 : x
  2. Step 2: Convert to fraction form
    134,469.96/185,560.38 = 77,870.40/x
  3. Step 3: Cross multiply
    134,469.96x = 185,560.38 × 77,870.40
  4. Step 4: Simplify right side
    134,469.96x = 14,449,661,014.75
  5. Step 5: Solve for x
    x = 14,449,661,014.75/134,469.96
  6. Step 6: Final answer
    x = 107,456.42

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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.