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Finding the Fourth Proportional to 206,448.80, 309,673.20 and 164,976.80

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Solution

The fourth proportional to 206,448.80, 309,673.20 and 164,976.80 is: 247,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.80 : 309,673.20 = 164,976.80 : x
  2. Step 2: Convert to fraction form
    206,448.80/309,673.20 = 164,976.80/x
  3. Step 3: Cross multiply
    206,448.80x = 309,673.20 × 164,976.80
  4. Step 4: Simplify right side
    206,448.80x = 51,088,893,581.76
  5. Step 5: Solve for x
    x = 51,088,893,581.76/206,448.80
  6. Step 6: Final answer
    x = 247,465.20

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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.