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Finding the Fourth Proportional to 205,955.38, 308,929.83 and 150,149.62

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Solution

The fourth proportional to 205,955.38, 308,929.83 and 150,149.62 is: 225,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,955.38 : 308,929.83 = 150,149.62 : x
  2. Step 2: Convert to fraction form
    205,955.38/308,929.83 = 150,149.62/x
  3. Step 3: Cross multiply
    205,955.38x = 308,929.83 × 150,149.62
  4. Step 4: Simplify right side
    205,955.38x = 46,385,696,581.16
  5. Step 5: Solve for x
    x = 46,385,696,581.16/205,955.38
  6. Step 6: Final answer
    x = 225,222.07

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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.