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Finding the Fourth Proportional to 205,706.60, 308,499.42 and 87,377

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Solution

The fourth proportional to 205,706.60, 308,499.42 and 87,377 is: 131,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,706.60 : 308,499.42 = 87,377 : x
  2. Step 2: Convert to fraction form
    205,706.60/308,499.42 = 87,377/x
  3. Step 3: Cross multiply
    205,706.60x = 308,499.42 × 87,377
  4. Step 4: Simplify right side
    205,706.60x = 26,955,753,821.34
  5. Step 5: Solve for x
    x = 26,955,753,821.34/205,706.60
  6. Step 6: Final answer
    x = 131,039.81

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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.