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Finding the Fourth Proportional to 222,823.50, 307,498.08 and 122,221.50

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Solution

The fourth proportional to 222,823.50, 307,498.08 and 122,221.50 is: 168,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,823.50 : 307,498.08 = 122,221.50 : x
  2. Step 2: Convert to fraction form
    222,823.50/307,498.08 = 122,221.50/x
  3. Step 3: Cross multiply
    222,823.50x = 307,498.08 × 122,221.50
  4. Step 4: Simplify right side
    222,823.50x = 37,582,876,584.72
  5. Step 5: Solve for x
    x = 37,582,876,584.72/222,823.50
  6. Step 6: Final answer
    x = 168,666.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.