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Finding the Fourth Proportional to 122,105.22, 183,225.87 and 65,944.14

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Solution

The fourth proportional to 122,105.22, 183,225.87 and 65,944.14 is: 98,952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,105.22 : 183,225.87 = 65,944.14 : x
  2. Step 2: Convert to fraction form
    122,105.22/183,225.87 = 65,944.14/x
  3. Step 3: Cross multiply
    122,105.22x = 183,225.87 × 65,944.14
  4. Step 4: Simplify right side
    122,105.22x = 12,082,672,422.90
  5. Step 5: Solve for x
    x = 12,082,672,422.90/122,105.22
  6. Step 6: Final answer
    x = 98,952.96

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Why These Related Problems?

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