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Finding the Fourth Proportional to 122,049.40, 168,284.66 and 97,831

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Solution

The fourth proportional to 122,049.40, 168,284.66 and 97,831 is: 134,891.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,049.40 : 168,284.66 = 97,831 : x
  2. Step 2: Convert to fraction form
    122,049.40/168,284.66 = 97,831/x
  3. Step 3: Cross multiply
    122,049.40x = 168,284.66 × 97,831
  4. Step 4: Simplify right side
    122,049.40x = 16,463,456,572.46
  5. Step 5: Solve for x
    x = 16,463,456,572.46/122,049.40
  6. Step 6: Final answer
    x = 134,891.75

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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.