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Finding the Fourth Proportional to 278,145.54, 417,113.55 and 100,608.66

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Solution

The fourth proportional to 278,145.54, 417,113.55 and 100,608.66 is: 150,875.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,145.54 : 417,113.55 = 100,608.66 : x
  2. Step 2: Convert to fraction form
    278,145.54/417,113.55 = 100,608.66/x
  3. Step 3: Cross multiply
    278,145.54x = 417,113.55 × 100,608.66
  4. Step 4: Simplify right side
    278,145.54x = 41,965,235,333.34
  5. Step 5: Solve for x
    x = 41,965,235,333.34/278,145.54
  6. Step 6: Final answer
    x = 150,875.10

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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.