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Finding the Fourth Proportional to 275,101.60, 412,412.40 and 106,736.80

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Solution

The fourth proportional to 275,101.60, 412,412.40 and 106,736.80 is: 160,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,101.60 : 412,412.40 = 106,736.80 : x
  2. Step 2: Convert to fraction form
    275,101.60/412,412.40 = 106,736.80/x
  3. Step 3: Cross multiply
    275,101.60x = 412,412.40 × 106,736.80
  4. Step 4: Simplify right side
    275,101.60x = 44,019,579,856.32
  5. Step 5: Solve for x
    x = 44,019,579,856.32/275,101.60
  6. Step 6: Final answer
    x = 160,012.08

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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.