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Finding the Fourth Proportional to 256,855.85, 354,419.65 and 161,294.89

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Solution

The fourth proportional to 256,855.85, 354,419.65 and 161,294.89 is: 222,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,855.85 : 354,419.65 = 161,294.89 : x
  2. Step 2: Convert to fraction form
    256,855.85/354,419.65 = 161,294.89/x
  3. Step 3: Cross multiply
    256,855.85x = 354,419.65 × 161,294.89
  4. Step 4: Simplify right side
    256,855.85x = 57,166,078,460.59
  5. Step 5: Solve for x
    x = 57,166,078,460.59/256,855.85
  6. Step 6: Final answer
    x = 222,560.94

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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.