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Finding the Fourth Proportional to 270,219, 372,902.22 and 150,987

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Solution

The fourth proportional to 270,219, 372,902.22 and 150,987 is: 208,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,219 : 372,902.22 = 150,987 : x
  2. Step 2: Convert to fraction form
    270,219/372,902.22 = 150,987/x
  3. Step 3: Cross multiply
    270,219x = 372,902.22 × 150,987
  4. Step 4: Simplify right side
    270,219x = 56,303,387,491.14
  5. Step 5: Solve for x
    x = 56,303,387,491.14/270,219
  6. Step 6: Final answer
    x = 208,362.06

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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.