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Finding the Fourth Proportional to 122,113.24, 183,197.74 and 47,233.64

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Solution

The fourth proportional to 122,113.24, 183,197.74 and 47,233.64 is: 70,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,113.24 : 183,197.74 = 47,233.64 : x
  2. Step 2: Convert to fraction form
    122,113.24/183,197.74 = 47,233.64/x
  3. Step 3: Cross multiply
    122,113.24x = 183,197.74 × 47,233.64
  4. Step 4: Simplify right side
    122,113.24x = 8,653,096,099.97
  5. Step 5: Solve for x
    x = 8,653,096,099.97/122,113.24
  6. Step 6: Final answer
    x = 70,861.24

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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.