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Finding the Fourth Proportional to 230,109, 344,664.92 and 111,532.28

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Solution

The fourth proportional to 230,109, 344,664.92 and 111,532.28 is: 167,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,109 : 344,664.92 = 111,532.28 : x
  2. Step 2: Convert to fraction form
    230,109/344,664.92 = 111,532.28/x
  3. Step 3: Cross multiply
    230,109x = 344,664.92 × 111,532.28
  4. Step 4: Simplify right side
    230,109x = 38,441,264,363.62
  5. Step 5: Solve for x
    x = 38,441,264,363.62/230,109
  6. Step 6: Final answer
    x = 167,056.76

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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.