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Finding the Fourth Proportional to 256,041.75, 383,959.94 and 106,180.23

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Solution

The fourth proportional to 256,041.75, 383,959.94 and 106,180.23 is: 159,227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,041.75 : 383,959.94 = 106,180.23 : x
  2. Step 2: Convert to fraction form
    256,041.75/383,959.94 = 106,180.23/x
  3. Step 3: Cross multiply
    256,041.75x = 383,959.94 × 106,180.23
  4. Step 4: Simplify right side
    256,041.75x = 40,768,954,209.09
  5. Step 5: Solve for x
    x = 40,768,954,209.09/256,041.75
  6. Step 6: Final answer
    x = 159,227.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.