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Finding the Fourth Proportional to 150,551.12, 225,827.06 and 50,781.40

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Solution

The fourth proportional to 150,551.12, 225,827.06 and 50,781.40 is: 76,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,551.12 : 225,827.06 = 50,781.40 : x
  2. Step 2: Convert to fraction form
    150,551.12/225,827.06 = 50,781.40/x
  3. Step 3: Cross multiply
    150,551.12x = 225,827.06 × 50,781.40
  4. Step 4: Simplify right side
    150,551.12x = 11,467,813,446.21
  5. Step 5: Solve for x
    x = 11,467,813,446.21/150,551.12
  6. Step 6: Final answer
    x = 76,172.22

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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.