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Finding the Fourth Proportional to 300,141.12, 414,192 and 164,177.76

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Solution

The fourth proportional to 300,141.12, 414,192 and 164,177.76 is: 226,563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,141.12 : 414,192 = 164,177.76 : x
  2. Step 2: Convert to fraction form
    300,141.12/414,192 = 164,177.76/x
  3. Step 3: Cross multiply
    300,141.12x = 414,192 × 164,177.76
  4. Step 4: Simplify right side
    300,141.12x = 68,001,114,769.92
  5. Step 5: Solve for x
    x = 68,001,114,769.92/300,141.12
  6. Step 6: Final answer
    x = 226,563.81

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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.