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Finding the Fourth Proportional to 278,204.40, 417,307.50 and 100,640.07

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Solution

The fourth proportional to 278,204.40, 417,307.50 and 100,640.07 is: 150,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,204.40 : 417,307.50 = 100,640.07 : x
  2. Step 2: Convert to fraction form
    278,204.40/417,307.50 = 100,640.07/x
  3. Step 3: Cross multiply
    278,204.40x = 417,307.50 × 100,640.07
  4. Step 4: Simplify right side
    278,204.40x = 41,997,856,011.53
  5. Step 5: Solve for x
    x = 41,997,856,011.53/278,204.40
  6. Step 6: Final answer
    x = 150,960.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.