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Finding the Fourth Proportional to 164,906.15, 231,568.45 and 164,906.15

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Solution

The fourth proportional to 164,906.15, 231,568.45 and 164,906.15 is: 231,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906.15 : 231,568.45 = 164,906.15 : x
  2. Step 2: Convert to fraction form
    164,906.15/231,568.45 = 164,906.15/x
  3. Step 3: Cross multiply
    164,906.15x = 231,568.45 × 164,906.15
  4. Step 4: Simplify right side
    164,906.15x = 38,187,061,550.97
  5. Step 5: Solve for x
    x = 38,187,061,550.97/164,906.15
  6. Step 6: Final answer
    x = 231,568.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.