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Finding the Fourth Proportional to 220,938.12, 304,797.60 and 149,292

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Solution

The fourth proportional to 220,938.12, 304,797.60 and 149,292 is: 205,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,938.12 : 304,797.60 = 149,292 : x
  2. Step 2: Convert to fraction form
    220,938.12/304,797.60 = 149,292/x
  3. Step 3: Cross multiply
    220,938.12x = 304,797.60 × 149,292
  4. Step 4: Simplify right side
    220,938.12x = 45,503,843,299.20
  5. Step 5: Solve for x
    x = 45,503,843,299.20/220,938.12
  6. Step 6: Final answer
    x = 205,957.41

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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.