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Finding the Fourth Proportional to 141,076.34, 194,697.44 and 77,426.44

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Solution

The fourth proportional to 141,076.34, 194,697.44 and 77,426.44 is: 106,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,076.34 : 194,697.44 = 77,426.44 : x
  2. Step 2: Convert to fraction form
    141,076.34/194,697.44 = 77,426.44/x
  3. Step 3: Cross multiply
    141,076.34x = 194,697.44 × 77,426.44
  4. Step 4: Simplify right side
    141,076.34x = 15,074,729,656.31
  5. Step 5: Solve for x
    x = 15,074,729,656.31/141,076.34
  6. Step 6: Final answer
    x = 106,855.12

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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.