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Finding the Fourth Proportional to 256,733.56, 354,400.14 and 156,166.52

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Solution

The fourth proportional to 256,733.56, 354,400.14 and 156,166.52 is: 215,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,733.56 : 354,400.14 = 156,166.52 : x
  2. Step 2: Convert to fraction form
    256,733.56/354,400.14 = 156,166.52/x
  3. Step 3: Cross multiply
    256,733.56x = 354,400.14 × 156,166.52
  4. Step 4: Simplify right side
    256,733.56x = 55,345,436,551.31
  5. Step 5: Solve for x
    x = 55,345,436,551.31/256,733.56
  6. Step 6: Final answer
    x = 215,575.39

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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.