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Finding the Fourth Proportional to 256,854.85, 354,418.27 and 161,293.89

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Solution

The fourth proportional to 256,854.85, 354,418.27 and 161,293.89 is: 222,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,854.85 : 354,418.27 = 161,293.89 : x
  2. Step 2: Convert to fraction form
    256,854.85/354,418.27 = 161,293.89/x
  3. Step 3: Cross multiply
    256,854.85x = 354,418.27 × 161,293.89
  4. Step 4: Simplify right side
    256,854.85x = 57,165,501,455.37
  5. Step 5: Solve for x
    x = 57,165,501,455.37/256,854.85
  6. Step 6: Final answer
    x = 222,559.56

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1.5x scale

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.