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Finding the Fourth Proportional to 205,187.80, 307,781.70 and 200,003.80

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Solution

The fourth proportional to 205,187.80, 307,781.70 and 200,003.80 is: 300,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,187.80 : 307,781.70 = 200,003.80 : x
  2. Step 2: Convert to fraction form
    205,187.80/307,781.70 = 200,003.80/x
  3. Step 3: Cross multiply
    205,187.80x = 307,781.70 × 200,003.80
  4. Step 4: Simplify right side
    205,187.80x = 61,557,509,570.46
  5. Step 5: Solve for x
    x = 61,557,509,570.46/205,187.80
  6. Step 6: Final answer
    x = 300,005.70

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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.