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Finding the Fourth Proportional to 218,376.92, 301,356.54 and 122,883.56

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Solution

The fourth proportional to 218,376.92, 301,356.54 and 122,883.56 is: 169,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,376.92 : 301,356.54 = 122,883.56 : x
  2. Step 2: Convert to fraction form
    218,376.92/301,356.54 = 122,883.56/x
  3. Step 3: Cross multiply
    218,376.92x = 301,356.54 × 122,883.56
  4. Step 4: Simplify right side
    218,376.92x = 37,031,764,464.48
  5. Step 5: Solve for x
    x = 37,031,764,464.48/218,376.92
  6. Step 6: Final answer
    x = 169,577.28

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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.