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Finding the Fourth Proportional to 149,703.76, 224,508.92 and 49,840.56

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Solution

The fourth proportional to 149,703.76, 224,508.92 and 49,840.56 is: 74,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,703.76 : 224,508.92 = 49,840.56 : x
  2. Step 2: Convert to fraction form
    149,703.76/224,508.92 = 49,840.56/x
  3. Step 3: Cross multiply
    149,703.76x = 224,508.92 × 49,840.56
  4. Step 4: Simplify right side
    149,703.76x = 11,189,650,297.80
  5. Step 5: Solve for x
    x = 11,189,650,297.80/149,703.76
  6. Step 6: Final answer
    x = 74,745.29

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1.5x scale

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.