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Finding the Fourth Proportional to 262,388.08, 362,144.28 and 149,204.08

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Solution

The fourth proportional to 262,388.08, 362,144.28 and 149,204.08 is: 205,929.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,388.08 : 362,144.28 = 149,204.08 : x
  2. Step 2: Convert to fraction form
    262,388.08/362,144.28 = 149,204.08/x
  3. Step 3: Cross multiply
    262,388.08x = 362,144.28 × 149,204.08
  4. Step 4: Simplify right side
    262,388.08x = 54,033,404,124.66
  5. Step 5: Solve for x
    x = 54,033,404,124.66/262,388.08
  6. Step 6: Final answer
    x = 205,929.34

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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.