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Finding the Fourth Proportional to 256,906.08, 354,412.08 and 166,291.20

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Solution

The fourth proportional to 256,906.08, 354,412.08 and 166,291.20 is: 229,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,906.08 : 354,412.08 = 166,291.20 : x
  2. Step 2: Convert to fraction form
    256,906.08/354,412.08 = 166,291.20/x
  3. Step 3: Cross multiply
    256,906.08x = 354,412.08 × 166,291.20
  4. Step 4: Simplify right side
    256,906.08x = 58,935,610,077.70
  5. Step 5: Solve for x
    x = 58,935,610,077.70/256,906.08
  6. Step 6: Final answer
    x = 229,405.28

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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.