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Finding the Fourth Proportional to 256,782.92, 354,359.22 and 143,606.12

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Solution

The fourth proportional to 256,782.92, 354,359.22 and 143,606.12 is: 198,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,782.92 : 354,359.22 = 143,606.12 : x
  2. Step 2: Convert to fraction form
    256,782.92/354,359.22 = 143,606.12/x
  3. Step 3: Cross multiply
    256,782.92x = 354,359.22 × 143,606.12
  4. Step 4: Simplify right side
    256,782.92x = 50,888,152,670.43
  5. Step 5: Solve for x
    x = 50,888,152,670.43/256,782.92
  6. Step 6: Final answer
    x = 198,175.77

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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.