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Finding the Fourth Proportional to 280,884.31, 421,240.78 and 147,692.31

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Solution

The fourth proportional to 280,884.31, 421,240.78 and 147,692.31 is: 221,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,884.31 : 421,240.78 = 147,692.31 : x
  2. Step 2: Convert to fraction form
    280,884.31/421,240.78 = 147,692.31/x
  3. Step 3: Cross multiply
    280,884.31x = 421,240.78 × 147,692.31
  4. Step 4: Simplify right side
    280,884.31x = 62,214,023,864.40
  5. Step 5: Solve for x
    x = 62,214,023,864.40/280,884.31
  6. Step 6: Final answer
    x = 221,493.41

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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.