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Finding the Fourth Proportional to 221,083.20, 330,919.20 and 174,427.20

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Solution

The fourth proportional to 221,083.20, 330,919.20 and 174,427.20 is: 261,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,083.20 : 330,919.20 = 174,427.20 : x
  2. Step 2: Convert to fraction form
    221,083.20/330,919.20 = 174,427.20/x
  3. Step 3: Cross multiply
    221,083.20x = 330,919.20 × 174,427.20
  4. Step 4: Simplify right side
    221,083.20x = 57,721,309,482.24
  5. Step 5: Solve for x
    x = 57,721,309,482.24/221,083.20
  6. Step 6: Final answer
    x = 261,084.11

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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.