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Finding the Fourth Proportional to 299,086.90, 412,728.51 and 164,950.90

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Solution

The fourth proportional to 299,086.90, 412,728.51 and 164,950.90 is: 227,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,086.90 : 412,728.51 = 164,950.90 : x
  2. Step 2: Convert to fraction form
    299,086.90/412,728.51 = 164,950.90/x
  3. Step 3: Cross multiply
    299,086.90x = 412,728.51 × 164,950.90
  4. Step 4: Simplify right side
    299,086.90x = 68,079,938,766.90
  5. Step 5: Solve for x
    x = 68,079,938,766.90/299,086.90
  6. Step 6: Final answer
    x = 227,625.95

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1.5x scale

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.