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Finding the Fourth Proportional to 278,113.50, 416,922.84 and 100,581.05

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Solution

The fourth proportional to 278,113.50, 416,922.84 and 100,581.05 is: 150,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,113.50 : 416,922.84 = 100,581.05 : x
  2. Step 2: Convert to fraction form
    278,113.50/416,922.84 = 100,581.05/x
  3. Step 3: Cross multiply
    278,113.50x = 416,922.84 × 100,581.05
  4. Step 4: Simplify right side
    278,113.50x = 41,934,538,058.49
  5. Step 5: Solve for x
    x = 41,934,538,058.49/278,113.50
  6. Step 6: Final answer
    x = 150,782.10

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