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Finding the Fourth Proportional to 300,186.15, 414,260.15 and 164,217.18

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Solution

The fourth proportional to 300,186.15, 414,260.15 and 164,217.18 is: 226,621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,186.15 : 414,260.15 = 164,217.18 : x
  2. Step 2: Convert to fraction form
    300,186.15/414,260.15 = 164,217.18/x
  3. Step 3: Cross multiply
    300,186.15x = 414,260.15 × 164,217.18
  4. Step 4: Simplify right side
    300,186.15x = 68,028,632,798.29
  5. Step 5: Solve for x
    x = 68,028,632,798.29/300,186.15
  6. Step 6: Final answer
    x = 226,621.49

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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.