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Finding the Fourth Proportional to 81,105.81, 111,864.35 and 69,794.16

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Solution

The fourth proportional to 81,105.81, 111,864.35 and 69,794.16 is: 96,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105.81 : 111,864.35 = 69,794.16 : x
  2. Step 2: Convert to fraction form
    81,105.81/111,864.35 = 69,794.16/x
  3. Step 3: Cross multiply
    81,105.81x = 111,864.35 × 69,794.16
  4. Step 4: Simplify right side
    81,105.81x = 7,807,478,516.68
  5. Step 5: Solve for x
    x = 7,807,478,516.68/81,105.81
  6. Step 6: Final answer
    x = 96,262.88

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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.