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Finding the Fourth Proportional to 222,076.86, 306,465.17 and 120,102.41

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Solution

The fourth proportional to 222,076.86, 306,465.17 and 120,102.41 is: 165,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,076.86 : 306,465.17 = 120,102.41 : x
  2. Step 2: Convert to fraction form
    222,076.86/306,465.17 = 120,102.41/x
  3. Step 3: Cross multiply
    222,076.86x = 306,465.17 × 120,102.41
  4. Step 4: Simplify right side
    222,076.86x = 36,807,205,663.71
  5. Step 5: Solve for x
    x = 36,807,205,663.71/222,076.86
  6. Step 6: Final answer
    x = 165,740.84

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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.