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Finding the Fourth Proportional to 150,774, 226,264.68 and 52,278

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Solution

The fourth proportional to 150,774, 226,264.68 and 52,278 is: 78,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,774 : 226,264.68 = 52,278 : x
  2. Step 2: Convert to fraction form
    150,774/226,264.68 = 52,278/x
  3. Step 3: Cross multiply
    150,774x = 226,264.68 × 52,278
  4. Step 4: Simplify right side
    150,774x = 11,828,664,941.04
  5. Step 5: Solve for x
    x = 11,828,664,941.04/150,774
  6. Step 6: Final answer
    x = 78,452.95

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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.