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Finding the Fourth Proportional to 222,816.74, 307,487.24 and 120,842.16

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Solution

The fourth proportional to 222,816.74, 307,487.24 and 120,842.16 is: 166,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,816.74 : 307,487.24 = 120,842.16 : x
  2. Step 2: Convert to fraction form
    222,816.74/307,487.24 = 120,842.16/x
  3. Step 3: Cross multiply
    222,816.74x = 307,487.24 × 120,842.16
  4. Step 4: Simplify right side
    222,816.74x = 37,157,422,254.04
  5. Step 5: Solve for x
    x = 37,157,422,254.04/222,816.74
  6. Step 6: Final answer
    x = 166,762.26

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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.