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Finding the Fourth Proportional to 230,993, 318,770.34 and 125,009

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Solution

The fourth proportional to 230,993, 318,770.34 and 125,009 is: 172,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,993 : 318,770.34 = 125,009 : x
  2. Step 2: Convert to fraction form
    230,993/318,770.34 = 125,009/x
  3. Step 3: Cross multiply
    230,993x = 318,770.34 × 125,009
  4. Step 4: Simplify right side
    230,993x = 39,849,161,433.06
  5. Step 5: Solve for x
    x = 39,849,161,433.06/230,993
  6. Step 6: Final answer
    x = 172,512.42

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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.