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Finding the Fourth Proportional to 112,142.24, 154,753.44 and 61,838

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Solution

The fourth proportional to 112,142.24, 154,753.44 and 61,838 is: 85,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,142.24 : 154,753.44 = 61,838 : x
  2. Step 2: Convert to fraction form
    112,142.24/154,753.44 = 61,838/x
  3. Step 3: Cross multiply
    112,142.24x = 154,753.44 × 61,838
  4. Step 4: Simplify right side
    112,142.24x = 9,569,643,222.72
  5. Step 5: Solve for x
    x = 9,569,643,222.72/112,142.24
  6. Step 6: Final answer
    x = 85,334.87

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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.