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Finding the Fourth Proportional to 122,096.72, 183,213.12 and 65,935.68

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Solution

The fourth proportional to 122,096.72, 183,213.12 and 65,935.68 is: 98,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,096.72 : 183,213.12 = 65,935.68 : x
  2. Step 2: Convert to fraction form
    122,096.72/183,213.12 = 65,935.68/x
  3. Step 3: Cross multiply
    122,096.72x = 183,213.12 × 65,935.68
  4. Step 4: Simplify right side
    122,096.72x = 12,080,281,652.12
  5. Step 5: Solve for x
    x = 12,080,281,652.12/122,096.72
  6. Step 6: Final answer
    x = 98,940.26

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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.