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Finding the Fourth Proportional to 270,238.16, 372,955.20 and 149,407.76

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Solution

The fourth proportional to 270,238.16, 372,955.20 and 149,407.76 is: 206,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,238.16 : 372,955.20 = 149,407.76 : x
  2. Step 2: Convert to fraction form
    270,238.16/372,955.20 = 149,407.76/x
  3. Step 3: Cross multiply
    270,238.16x = 372,955.20 × 149,407.76
  4. Step 4: Simplify right side
    270,238.16x = 55,722,401,012.35
  5. Step 5: Solve for x
    x = 55,722,401,012.35/270,238.16
  6. Step 6: Final answer
    x = 206,197.38

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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.