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Finding the Fourth Proportional to 140,759.16, 194,245.77 and 77,097.02

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Solution

The fourth proportional to 140,759.16, 194,245.77 and 77,097.02 is: 106,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,759.16 : 194,245.77 = 77,097.02 : x
  2. Step 2: Convert to fraction form
    140,759.16/194,245.77 = 77,097.02/x
  3. Step 3: Cross multiply
    140,759.16x = 194,245.77 × 77,097.02
  4. Step 4: Simplify right side
    140,759.16x = 14,975,769,043.38
  5. Step 5: Solve for x
    x = 14,975,769,043.38/140,759.16
  6. Step 6: Final answer
    x = 106,392.86

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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.