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Finding the Fourth Proportional to 205,708.60, 308,502.42 and 87,379

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Solution

The fourth proportional to 205,708.60, 308,502.42 and 87,379 is: 131,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.60 : 308,502.42 = 87,379 : x
  2. Step 2: Convert to fraction form
    205,708.60/308,502.42 = 87,379/x
  3. Step 3: Cross multiply
    205,708.60x = 308,502.42 × 87,379
  4. Step 4: Simplify right side
    205,708.60x = 26,956,632,957.18
  5. Step 5: Solve for x
    x = 26,956,632,957.18/205,708.60
  6. Step 6: Final answer
    x = 131,042.81

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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.