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Finding the Fourth Proportional to 230,256.16, 345,293.52 and 111,892.48

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Solution

The fourth proportional to 230,256.16, 345,293.52 and 111,892.48 is: 167,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,256.16 : 345,293.52 = 111,892.48 : x
  2. Step 2: Convert to fraction form
    230,256.16/345,293.52 = 111,892.48/x
  3. Step 3: Cross multiply
    230,256.16x = 345,293.52 × 111,892.48
  4. Step 4: Simplify right side
    230,256.16x = 38,635,748,280.73
  5. Step 5: Solve for x
    x = 38,635,748,280.73/230,256.16
  6. Step 6: Final answer
    x = 167,794.63

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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.