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Finding the Fourth Proportional to 230,996, 318,774.48 and 125,012

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Solution

The fourth proportional to 230,996, 318,774.48 and 125,012 is: 172,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,996 : 318,774.48 = 125,012 : x
  2. Step 2: Convert to fraction form
    230,996/318,774.48 = 125,012/x
  3. Step 3: Cross multiply
    230,996x = 318,774.48 × 125,012
  4. Step 4: Simplify right side
    230,996x = 39,850,635,293.76
  5. Step 5: Solve for x
    x = 39,850,635,293.76/230,996
  6. Step 6: Final answer
    x = 172,516.56

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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.