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Finding the Fourth Proportional to 278,185.70, 417,278.56 and 67,825.46

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Solution

The fourth proportional to 278,185.70, 417,278.56 and 67,825.46 is: 101,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,185.70 : 417,278.56 = 67,825.46 : x
  2. Step 2: Convert to fraction form
    278,185.70/417,278.56 = 67,825.46/x
  3. Step 3: Cross multiply
    278,185.70x = 417,278.56 × 67,825.46
  4. Step 4: Simplify right side
    278,185.70x = 28,302,110,280.14
  5. Step 5: Solve for x
    x = 28,302,110,280.14/278,185.70
  6. Step 6: Final answer
    x = 101,738.19

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1.5x scale

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.