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Finding the Fourth Proportional to 222,430.98, 306,954.92 and 120,457.24

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Solution

The fourth proportional to 222,430.98, 306,954.92 and 120,457.24 is: 166,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,430.98 : 306,954.92 = 120,457.24 : x
  2. Step 2: Convert to fraction form
    222,430.98/306,954.92 = 120,457.24/x
  3. Step 3: Cross multiply
    222,430.98x = 306,954.92 × 120,457.24
  4. Step 4: Simplify right side
    222,430.98x = 36,974,942,467.62
  5. Step 5: Solve for x
    x = 36,974,942,467.62/222,430.98
  6. Step 6: Final answer
    x = 166,231.08

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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.