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Finding the Fourth Proportional to 205,972.80, 308,613.60 and 100,564.80

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Solution

The fourth proportional to 205,972.80, 308,613.60 and 100,564.80 is: 150,678.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,972.80 : 308,613.60 = 100,564.80 : x
  2. Step 2: Convert to fraction form
    205,972.80/308,613.60 = 100,564.80/x
  3. Step 3: Cross multiply
    205,972.80x = 308,613.60 × 100,564.80
  4. Step 4: Simplify right side
    205,972.80x = 31,035,664,961.28
  5. Step 5: Solve for x
    x = 31,035,664,961.28/205,972.80
  6. Step 6: Final answer
    x = 150,678.46

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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.