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Finding the Fourth Proportional to 205,823.80, 308,930.10 and 127,091.80

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Solution

The fourth proportional to 205,823.80, 308,930.10 and 127,091.80 is: 190,757.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,823.80 : 308,930.10 = 127,091.80 : x
  2. Step 2: Convert to fraction form
    205,823.80/308,930.10 = 127,091.80/x
  3. Step 3: Cross multiply
    205,823.80x = 308,930.10 × 127,091.80
  4. Step 4: Simplify right side
    205,823.80x = 39,262,482,483.18
  5. Step 5: Solve for x
    x = 39,262,482,483.18/205,823.80
  6. Step 6: Final answer
    x = 190,757.74

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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.