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Finding the Fourth Proportional to 141,005, 194,594.58 and 81,408.20

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Solution

The fourth proportional to 141,005, 194,594.58 and 81,408.20 is: 112,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,005 : 194,594.58 = 81,408.20 : x
  2. Step 2: Convert to fraction form
    141,005/194,594.58 = 81,408.20/x
  3. Step 3: Cross multiply
    141,005x = 194,594.58 × 81,408.20
  4. Step 4: Simplify right side
    141,005x = 15,841,594,487.56
  5. Step 5: Solve for x
    x = 15,841,594,487.56/141,005
  6. Step 6: Final answer
    x = 112,347.75

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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.