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Finding the Fourth Proportional to 101,447.70, 152,135.10 and 51,511.20

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Solution

The fourth proportional to 101,447.70, 152,135.10 and 51,511.20 is: 77,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,447.70 : 152,135.10 = 51,511.20 : x
  2. Step 2: Convert to fraction form
    101,447.70/152,135.10 = 51,511.20/x
  3. Step 3: Cross multiply
    101,447.70x = 152,135.10 × 51,511.20
  4. Step 4: Simplify right side
    101,447.70x = 7,836,661,563.12
  5. Step 5: Solve for x
    x = 7,836,661,563.12/101,447.70
  6. Step 6: Final answer
    x = 77,248.29

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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.