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Finding the Fourth Proportional to 221,419.26, 332,184.51 and 63,648

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Solution

The fourth proportional to 221,419.26, 332,184.51 and 63,648 is: 95,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,419.26 : 332,184.51 = 63,648 : x
  2. Step 2: Convert to fraction form
    221,419.26/332,184.51 = 63,648/x
  3. Step 3: Cross multiply
    221,419.26x = 332,184.51 × 63,648
  4. Step 4: Simplify right side
    221,419.26x = 21,142,879,692.48
  5. Step 5: Solve for x
    x = 21,142,879,692.48/221,419.26
  6. Step 6: Final answer
    x = 95,487.99

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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.