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Finding the Fourth Proportional to 270,082.34, 372,703.57 and 149,221.04

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Solution

The fourth proportional to 270,082.34, 372,703.57 and 149,221.04 is: 205,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,082.34 : 372,703.57 = 149,221.04 : x
  2. Step 2: Convert to fraction form
    270,082.34/372,703.57 = 149,221.04/x
  3. Step 3: Cross multiply
    270,082.34x = 372,703.57 × 149,221.04
  4. Step 4: Simplify right side
    270,082.34x = 55,615,214,327.11
  5. Step 5: Solve for x
    x = 55,615,214,327.11/270,082.34
  6. Step 6: Final answer
    x = 205,919.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.