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Finding the Fourth Proportional to 222,039.16, 306,416.46 and 121,435

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Solution

The fourth proportional to 222,039.16, 306,416.46 and 121,435 is: 167,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,039.16 : 306,416.46 = 121,435 : x
  2. Step 2: Convert to fraction form
    222,039.16/306,416.46 = 121,435/x
  3. Step 3: Cross multiply
    222,039.16x = 306,416.46 × 121,435
  4. Step 4: Simplify right side
    222,039.16x = 37,209,682,820.10
  5. Step 5: Solve for x
    x = 37,209,682,820.10/222,039.16
  6. Step 6: Final answer
    x = 167,581.62

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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.