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Finding the Fourth Proportional to 220,829.80, 304,745.18 and 120,227.80

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Solution

The fourth proportional to 220,829.80, 304,745.18 and 120,227.80 is: 165,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,829.80 : 304,745.18 = 120,227.80 : x
  2. Step 2: Convert to fraction form
    220,829.80/304,745.18 = 120,227.80/x
  3. Step 3: Cross multiply
    220,829.80x = 304,745.18 × 120,227.80
  4. Step 4: Simplify right side
    220,829.80x = 36,638,842,552.00
  5. Step 5: Solve for x
    x = 36,638,842,552.00/220,829.80
  6. Step 6: Final answer
    x = 165,914.39

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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.