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Finding the Fourth Proportional to 300,095.46, 414,116.38 and 164,102.97

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Solution

The fourth proportional to 300,095.46, 414,116.38 and 164,102.97 is: 226,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,095.46 : 414,116.38 = 164,102.97 : x
  2. Step 2: Convert to fraction form
    300,095.46/414,116.38 = 164,102.97/x
  3. Step 3: Cross multiply
    300,095.46x = 414,116.38 × 164,102.97
  4. Step 4: Simplify right side
    300,095.46x = 67,957,729,641.71
  5. Step 5: Solve for x
    x = 67,957,729,641.71/300,095.46
  6. Step 6: Final answer
    x = 226,453.71

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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.