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Finding the Fourth Proportional to 150,671.78, 225,920.16 and 57,126.50

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Solution

The fourth proportional to 150,671.78, 225,920.16 and 57,126.50 is: 85,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,671.78 : 225,920.16 = 57,126.50 : x
  2. Step 2: Convert to fraction form
    150,671.78/225,920.16 = 57,126.50/x
  3. Step 3: Cross multiply
    150,671.78x = 225,920.16 × 57,126.50
  4. Step 4: Simplify right side
    150,671.78x = 12,906,028,020.24
  5. Step 5: Solve for x
    x = 12,906,028,020.24/150,671.78
  6. Step 6: Final answer
    x = 85,656.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.