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Finding the Fourth Proportional to 149,753.32, 224,629.34 and 38,945

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Solution

The fourth proportional to 149,753.32, 224,629.34 and 38,945 is: 58,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,753.32 : 224,629.34 = 38,945 : x
  2. Step 2: Convert to fraction form
    149,753.32/224,629.34 = 38,945/x
  3. Step 3: Cross multiply
    149,753.32x = 224,629.34 × 38,945
  4. Step 4: Simplify right side
    149,753.32x = 8,748,189,646.30
  5. Step 5: Solve for x
    x = 8,748,189,646.30/149,753.32
  6. Step 6: Final answer
    x = 58,417.33

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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.