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Finding the Fourth Proportional to 222,678, 333,180 and 156,247.74

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Solution

The fourth proportional to 222,678, 333,180 and 156,247.74 is: 233,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,678 : 333,180 = 156,247.74 : x
  2. Step 2: Convert to fraction form
    222,678/333,180 = 156,247.74/x
  3. Step 3: Cross multiply
    222,678x = 333,180 × 156,247.74
  4. Step 4: Simplify right side
    222,678x = 52,058,622,013.20
  5. Step 5: Solve for x
    x = 52,058,622,013.20/222,678
  6. Step 6: Final answer
    x = 233,784.31

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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.