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Finding the Fourth Proportional to 222,364.08, 306,862.62 and 120,389.61

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Solution

The fourth proportional to 222,364.08, 306,862.62 and 120,389.61 is: 166,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,364.08 : 306,862.62 = 120,389.61 : x
  2. Step 2: Convert to fraction form
    222,364.08/306,862.62 = 120,389.61/x
  3. Step 3: Cross multiply
    222,364.08x = 306,862.62 × 120,389.61
  4. Step 4: Simplify right side
    222,364.08x = 36,943,071,145.38
  5. Step 5: Solve for x
    x = 36,943,071,145.38/222,364.08
  6. Step 6: Final answer
    x = 166,137.76

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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.