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Finding the Fourth Proportional to 205,101.62, 282,961.32 and 128,487.38

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Solution

The fourth proportional to 205,101.62, 282,961.32 and 128,487.38 is: 177,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,101.62 : 282,961.32 = 128,487.38 : x
  2. Step 2: Convert to fraction form
    205,101.62/282,961.32 = 128,487.38/x
  3. Step 3: Cross multiply
    205,101.62x = 282,961.32 × 128,487.38
  4. Step 4: Simplify right side
    205,101.62x = 36,356,958,648.14
  5. Step 5: Solve for x
    x = 36,356,958,648.14/205,101.62
  6. Step 6: Final answer
    x = 177,263.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.