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Finding the Fourth Proportional to 222,171.57, 306,595.47 and 120,196.74

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Solution

The fourth proportional to 222,171.57, 306,595.47 and 120,196.74 is: 165,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,171.57 : 306,595.47 = 120,196.74 : x
  2. Step 2: Convert to fraction form
    222,171.57/306,595.47 = 120,196.74/x
  3. Step 3: Cross multiply
    222,171.57x = 306,595.47 × 120,196.74
  4. Step 4: Simplify right side
    222,171.57x = 36,851,775,992.77
  5. Step 5: Solve for x
    x = 36,851,775,992.77/222,171.57
  6. Step 6: Final answer
    x = 165,870.80

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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.