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Finding the Fourth Proportional to 257,234.81, 354,986.51 and 142,515.86

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Solution

The fourth proportional to 257,234.81, 354,986.51 and 142,515.86 is: 196,673.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,234.81 : 354,986.51 = 142,515.86 : x
  2. Step 2: Convert to fraction form
    257,234.81/354,986.51 = 142,515.86/x
  3. Step 3: Cross multiply
    257,234.81x = 354,986.51 × 142,515.86
  4. Step 4: Simplify right side
    257,234.81x = 50,591,205,273.54
  5. Step 5: Solve for x
    x = 50,591,205,273.54/257,234.81
  6. Step 6: Final answer
    x = 196,673.25

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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.