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Finding the Fourth Proportional to 222,368.42, 306,864.69 and 120,393.05

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Solution

The fourth proportional to 222,368.42, 306,864.69 and 120,393.05 is: 166,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,368.42 : 306,864.69 = 120,393.05 : x
  2. Step 2: Convert to fraction form
    222,368.42/306,864.69 = 120,393.05/x
  3. Step 3: Cross multiply
    222,368.42x = 306,864.69 × 120,393.05
  4. Step 4: Simplify right side
    222,368.42x = 36,944,375,966.40
  5. Step 5: Solve for x
    x = 36,944,375,966.40/222,368.42
  6. Step 6: Final answer
    x = 166,140.39

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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.