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Finding the Fourth Proportional to 256,828.86, 354,511.28 and 149,489.07

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Solution

The fourth proportional to 256,828.86, 354,511.28 and 149,489.07 is: 206,345.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,828.86 : 354,511.28 = 149,489.07 : x
  2. Step 2: Convert to fraction form
    256,828.86/354,511.28 = 149,489.07/x
  3. Step 3: Cross multiply
    256,828.86x = 354,511.28 × 149,489.07
  4. Step 4: Simplify right side
    256,828.86x = 52,995,560,804.26
  5. Step 5: Solve for x
    x = 52,995,560,804.26/256,828.86
  6. Step 6: Final answer
    x = 206,345.82

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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.