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Finding the Fourth Proportional to 122,216.34, 183,325.32 and 47,344.80

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Solution

The fourth proportional to 122,216.34, 183,325.32 and 47,344.80 is: 71,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,216.34 : 183,325.32 = 47,344.80 : x
  2. Step 2: Convert to fraction form
    122,216.34/183,325.32 = 47,344.80/x
  3. Step 3: Cross multiply
    122,216.34x = 183,325.32 × 47,344.80
  4. Step 4: Simplify right side
    122,216.34x = 8,679,500,610.34
  5. Step 5: Solve for x
    x = 8,679,500,610.34/122,216.34
  6. Step 6: Final answer
    x = 71,017.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.