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Finding the Fourth Proportional to 256,781.92, 354,357.84 and 143,605.12

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Solution

The fourth proportional to 256,781.92, 354,357.84 and 143,605.12 is: 198,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,781.92 : 354,357.84 = 143,605.12 : x
  2. Step 2: Convert to fraction form
    256,781.92/354,357.84 = 143,605.12/x
  3. Step 3: Cross multiply
    256,781.92x = 354,357.84 × 143,605.12
  4. Step 4: Simplify right side
    256,781.92x = 50,887,600,136.14
  5. Step 5: Solve for x
    x = 50,887,600,136.14/256,781.92
  6. Step 6: Final answer
    x = 198,174.39

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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.