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Finding the Fourth Proportional to 222,333.66, 306,820.09 and 120,359.09

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Solution

The fourth proportional to 222,333.66, 306,820.09 and 120,359.09 is: 166,095.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,333.66 : 306,820.09 = 120,359.09 : x
  2. Step 2: Convert to fraction form
    222,333.66/306,820.09 = 120,359.09/x
  3. Step 3: Cross multiply
    222,333.66x = 306,820.09 × 120,359.09
  4. Step 4: Simplify right side
    222,333.66x = 36,928,585,758.17
  5. Step 5: Solve for x
    x = 36,928,585,758.17/222,333.66
  6. Step 6: Final answer
    x = 166,095.35

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1.5x scale

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.