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Finding the Fourth Proportional to 278,219.54, 417,324.66 and 88,677.32

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Solution

The fourth proportional to 278,219.54, 417,324.66 and 88,677.32 is: 133,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,219.54 : 417,324.66 = 88,677.32 : x
  2. Step 2: Convert to fraction form
    278,219.54/417,324.66 = 88,677.32/x
  3. Step 3: Cross multiply
    278,219.54x = 417,324.66 × 88,677.32
  4. Step 4: Simplify right side
    278,219.54x = 37,007,232,418.71
  5. Step 5: Solve for x
    x = 37,007,232,418.71/278,219.54
  6. Step 6: Final answer
    x = 133,014.50

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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.