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Finding the Fourth Proportional to 222,432.41, 333,164.14 and 115,493.76

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Solution

The fourth proportional to 222,432.41, 333,164.14 and 115,493.76 is: 172,989.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,432.41 : 333,164.14 = 115,493.76 : x
  2. Step 2: Convert to fraction form
    222,432.41/333,164.14 = 115,493.76/x
  3. Step 3: Cross multiply
    222,432.41x = 333,164.14 × 115,493.76
  4. Step 4: Simplify right side
    222,432.41x = 38,478,378,937.03
  5. Step 5: Solve for x
    x = 38,478,378,937.03/222,432.41
  6. Step 6: Final answer
    x = 172,989.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.