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Finding the Fourth Proportional to 169,099.70, 233,245.22 and 108,746.64

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Solution

The fourth proportional to 169,099.70, 233,245.22 and 108,746.64 is: 149,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,099.70 : 233,245.22 = 108,746.64 : x
  2. Step 2: Convert to fraction form
    169,099.70/233,245.22 = 108,746.64/x
  3. Step 3: Cross multiply
    169,099.70x = 233,245.22 × 108,746.64
  4. Step 4: Simplify right side
    169,099.70x = 25,364,633,427.33
  5. Step 5: Solve for x
    x = 25,364,633,427.33/169,099.70
  6. Step 6: Final answer
    x = 149,998.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.