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Finding the Fourth Proportional to 225,902.80, 338,465.40 and 146,976.40

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Solution

The fourth proportional to 225,902.80, 338,465.40 and 146,976.40 is: 220,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,902.80 : 338,465.40 = 146,976.40 : x
  2. Step 2: Convert to fraction form
    225,902.80/338,465.40 = 146,976.40/x
  3. Step 3: Cross multiply
    225,902.80x = 338,465.40 × 146,976.40
  4. Step 4: Simplify right side
    225,902.80x = 49,746,426,016.56
  5. Step 5: Solve for x
    x = 49,746,426,016.56/225,902.80
  6. Step 6: Final answer
    x = 220,211.64

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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.