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Finding the Fourth Proportional to 256,588.75, 354,103.41 and 143,411.50

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Solution

The fourth proportional to 256,588.75, 354,103.41 and 143,411.50 is: 197,913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,588.75 : 354,103.41 = 143,411.50 : x
  2. Step 2: Convert to fraction form
    256,588.75/354,103.41 = 143,411.50/x
  3. Step 3: Cross multiply
    256,588.75x = 354,103.41 × 143,411.50
  4. Step 4: Simplify right side
    256,588.75x = 50,782,501,183.22
  5. Step 5: Solve for x
    x = 50,782,501,183.22/256,588.75
  6. Step 6: Final answer
    x = 197,913.98

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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.