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Finding the Fourth Proportional to 278,041.01, 383,697.17 and 150,716.60

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Solution

The fourth proportional to 278,041.01, 383,697.17 and 150,716.60 is: 207,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,041.01 : 383,697.17 = 150,716.60 : x
  2. Step 2: Convert to fraction form
    278,041.01/383,697.17 = 150,716.60/x
  3. Step 3: Cross multiply
    278,041.01x = 383,697.17 × 150,716.60
  4. Step 4: Simplify right side
    278,041.01x = 57,829,530,219.95
  5. Step 5: Solve for x
    x = 57,829,530,219.95/278,041.01
  6. Step 6: Final answer
    x = 207,989.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.