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Finding the Fourth Proportional to 222,457.83, 306,992.72 and 120,484.50

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Solution

The fourth proportional to 222,457.83, 306,992.72 and 120,484.50 is: 166,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,457.83 : 306,992.72 = 120,484.50 : x
  2. Step 2: Convert to fraction form
    222,457.83/306,992.72 = 120,484.50/x
  3. Step 3: Cross multiply
    222,457.83x = 306,992.72 × 120,484.50
  4. Step 4: Simplify right side
    222,457.83x = 36,987,864,372.84
  5. Step 5: Solve for x
    x = 36,987,864,372.84/222,457.83
  6. Step 6: Final answer
    x = 166,269.11

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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.