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Finding the Fourth Proportional to 222,257.08, 306,712.38 and 120,280.30

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Solution

The fourth proportional to 222,257.08, 306,712.38 and 120,280.30 is: 165,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,257.08 : 306,712.38 = 120,280.30 : x
  2. Step 2: Convert to fraction form
    222,257.08/306,712.38 = 120,280.30/x
  3. Step 3: Cross multiply
    222,257.08x = 306,712.38 × 120,280.30
  4. Step 4: Simplify right side
    222,257.08x = 36,891,457,080.11
  5. Step 5: Solve for x
    x = 36,891,457,080.11/222,257.08
  6. Step 6: Final answer
    x = 165,985.52

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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.