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Finding the Fourth Proportional to 222,244.97, 306,698.03 and 120,270.41

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Solution

The fourth proportional to 222,244.97, 306,698.03 and 120,270.41 is: 165,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,244.97 : 306,698.03 = 120,270.41 : x
  2. Step 2: Convert to fraction form
    222,244.97/306,698.03 = 120,270.41/x
  3. Step 3: Cross multiply
    222,244.97x = 306,698.03 × 120,270.41
  4. Step 4: Simplify right side
    222,244.97x = 36,886,698,881.71
  5. Step 5: Solve for x
    x = 36,886,698,881.71/222,244.97
  6. Step 6: Final answer
    x = 165,973.16

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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.