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Finding the Fourth Proportional to 116,029.08, 160,117.02 and 68,285.24

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Solution

The fourth proportional to 116,029.08, 160,117.02 and 68,285.24 is: 94,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,029.08 : 160,117.02 = 68,285.24 : x
  2. Step 2: Convert to fraction form
    116,029.08/160,117.02 = 68,285.24/x
  3. Step 3: Cross multiply
    116,029.08x = 160,117.02 × 68,285.24
  4. Step 4: Simplify right side
    116,029.08x = 10,933,629,138.78
  5. Step 5: Solve for x
    x = 10,933,629,138.78/116,029.08
  6. Step 6: Final answer
    x = 94,231.80

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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.