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Finding the Fourth Proportional to 225,892.80, 338,450.40 and 146,966.40

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Solution

The fourth proportional to 225,892.80, 338,450.40 and 146,966.40 is: 220,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,892.80 : 338,450.40 = 146,966.40 : x
  2. Step 2: Convert to fraction form
    225,892.80/338,450.40 = 146,966.40/x
  3. Step 3: Cross multiply
    225,892.80x = 338,450.40 × 146,966.40
  4. Step 4: Simplify right side
    225,892.80x = 49,740,836,866.56
  5. Step 5: Solve for x
    x = 49,740,836,866.56/225,892.80
  6. Step 6: Final answer
    x = 220,196.65

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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.