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Finding the Fourth Proportional to 230,876.24, 318,573.96 and 146,109.20

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Solution

The fourth proportional to 230,876.24, 318,573.96 and 146,109.20 is: 201,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,876.24 : 318,573.96 = 146,109.20 : x
  2. Step 2: Convert to fraction form
    230,876.24/318,573.96 = 146,109.20/x
  3. Step 3: Cross multiply
    230,876.24x = 318,573.96 × 146,109.20
  4. Step 4: Simplify right side
    230,876.24x = 46,546,586,436.43
  5. Step 5: Solve for x
    x = 46,546,586,436.43/230,876.24
  6. Step 6: Final answer
    x = 201,608.39

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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.