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Finding the Fourth Proportional to 218,317.20, 301,277.28 and 122,824

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Solution

The fourth proportional to 218,317.20, 301,277.28 and 122,824 is: 169,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,317.20 : 301,277.28 = 122,824 : x
  2. Step 2: Convert to fraction form
    218,317.20/301,277.28 = 122,824/x
  3. Step 3: Cross multiply
    218,317.20x = 301,277.28 × 122,824
  4. Step 4: Simplify right side
    218,317.20x = 37,004,080,638.72
  5. Step 5: Solve for x
    x = 37,004,080,638.72/218,317.20
  6. Step 6: Final answer
    x = 169,496.86

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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.