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Finding the Fourth Proportional to 278,114.54, 416,924.39 and 100,582.07

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Solution

The fourth proportional to 278,114.54, 416,924.39 and 100,582.07 is: 150,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,114.54 : 416,924.39 = 100,582.07 : x
  2. Step 2: Convert to fraction form
    278,114.54/416,924.39 = 100,582.07/x
  3. Step 3: Cross multiply
    278,114.54x = 416,924.39 × 100,582.07
  4. Step 4: Simplify right side
    278,114.54x = 41,935,119,473.45
  5. Step 5: Solve for x
    x = 41,935,119,473.45/278,114.54
  6. Step 6: Final answer
    x = 150,783.63

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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.