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Finding the Fourth Proportional to 256,693.22, 354,094.44 and 149,251.38

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Solution

The fourth proportional to 256,693.22, 354,094.44 and 149,251.38 is: 205,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,693.22 : 354,094.44 = 149,251.38 : x
  2. Step 2: Convert to fraction form
    256,693.22/354,094.44 = 149,251.38/x
  3. Step 3: Cross multiply
    256,693.22x = 354,094.44 × 149,251.38
  4. Step 4: Simplify right side
    256,693.22x = 52,849,083,820.33
  5. Step 5: Solve for x
    x = 52,849,083,820.33/256,693.22
  6. Step 6: Final answer
    x = 205,884.22

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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.