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Finding the Fourth Proportional to 230,106, 344,660.42 and 111,529.28

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Solution

The fourth proportional to 230,106, 344,660.42 and 111,529.28 is: 167,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,106 : 344,660.42 = 111,529.28 : x
  2. Step 2: Convert to fraction form
    230,106/344,660.42 = 111,529.28/x
  3. Step 3: Cross multiply
    230,106x = 344,660.42 × 111,529.28
  4. Step 4: Simplify right side
    230,106x = 38,439,728,487.10
  5. Step 5: Solve for x
    x = 38,439,728,487.10/230,106
  6. Step 6: Final answer
    x = 167,052.26

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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.