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Finding the Fourth Proportional to 230,100.75, 345,360.51 and 117,858.24

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Solution

The fourth proportional to 230,100.75, 345,360.51 and 117,858.24 is: 176,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,100.75 : 345,360.51 = 117,858.24 : x
  2. Step 2: Convert to fraction form
    230,100.75/345,360.51 = 117,858.24/x
  3. Step 3: Cross multiply
    230,100.75x = 345,360.51 × 117,858.24
  4. Step 4: Simplify right side
    230,100.75x = 40,703,581,874.10
  5. Step 5: Solve for x
    x = 40,703,581,874.10/230,100.75
  6. Step 6: Final answer
    x = 176,894.61

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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.