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Finding the Fourth Proportional to 227,825.80, 341,738.70 and 164,840.20

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Solution

The fourth proportional to 227,825.80, 341,738.70 and 164,840.20 is: 247,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,825.80 : 341,738.70 = 164,840.20 : x
  2. Step 2: Convert to fraction form
    227,825.80/341,738.70 = 164,840.20/x
  3. Step 3: Cross multiply
    227,825.80x = 341,738.70 × 164,840.20
  4. Step 4: Simplify right side
    227,825.80x = 56,332,275,655.74
  5. Step 5: Solve for x
    x = 56,332,275,655.74/227,825.80
  6. Step 6: Final answer
    x = 247,260.30

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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.