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Finding the Fourth Proportional to 102,171.44, 140,997.96 and 57,459.44

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Solution

The fourth proportional to 102,171.44, 140,997.96 and 57,459.44 is: 79,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,171.44 : 140,997.96 = 57,459.44 : x
  2. Step 2: Convert to fraction form
    102,171.44/140,997.96 = 57,459.44/x
  3. Step 3: Cross multiply
    102,171.44x = 140,997.96 × 57,459.44
  4. Step 4: Simplify right side
    102,171.44x = 8,101,663,822.74
  5. Step 5: Solve for x
    x = 8,101,663,822.74/102,171.44
  6. Step 6: Final answer
    x = 79,294.80

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1.5x scale

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.