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Finding the Fourth Proportional to 101,408.70, 152,098.65 and 34,851.90

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Solution

The fourth proportional to 101,408.70, 152,098.65 and 34,851.90 is: 52,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408.70 : 152,098.65 = 34,851.90 : x
  2. Step 2: Convert to fraction form
    101,408.70/152,098.65 = 34,851.90/x
  3. Step 3: Cross multiply
    101,408.70x = 152,098.65 × 34,851.90
  4. Step 4: Simplify right side
    101,408.70x = 5,300,926,939.94
  5. Step 5: Solve for x
    x = 5,300,926,939.94/101,408.70
  6. Step 6: Final answer
    x = 52,272.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.