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Finding the Fourth Proportional to 269,194.94, 403,411.44 and 149,304.67

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Solution

The fourth proportional to 269,194.94, 403,411.44 and 149,304.67 is: 223,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194.94 : 403,411.44 = 149,304.67 : x
  2. Step 2: Convert to fraction form
    269,194.94/403,411.44 = 149,304.67/x
  3. Step 3: Cross multiply
    269,194.94x = 403,411.44 × 149,304.67
  4. Step 4: Simplify right side
    269,194.94x = 60,231,210,634.95
  5. Step 5: Solve for x
    x = 60,231,210,634.95/269,194.94
  6. Step 6: Final answer
    x = 223,745.70

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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.