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Finding the Fourth Proportional to 222,257.34, 306,712.76 and 120,280.58

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Solution

The fourth proportional to 222,257.34, 306,712.76 and 120,280.58 is: 165,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,257.34 : 306,712.76 = 120,280.58 : x
  2. Step 2: Convert to fraction form
    222,257.34/306,712.76 = 120,280.58/x
  3. Step 3: Cross multiply
    222,257.34x = 306,712.76 × 120,280.58
  4. Step 4: Simplify right side
    222,257.34x = 36,891,588,666.20
  5. Step 5: Solve for x
    x = 36,891,588,666.20/222,257.34
  6. Step 6: Final answer
    x = 165,985.92

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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.