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Finding the Fourth Proportional to 205,288.41, 308,098.47 and 87,042.78

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Solution

The fourth proportional to 205,288.41, 308,098.47 and 87,042.78 is: 130,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,288.41 : 308,098.47 = 87,042.78 : x
  2. Step 2: Convert to fraction form
    205,288.41/308,098.47 = 87,042.78/x
  3. Step 3: Cross multiply
    205,288.41x = 308,098.47 × 87,042.78
  4. Step 4: Simplify right side
    205,288.41x = 26,817,747,342.55
  5. Step 5: Solve for x
    x = 26,817,747,342.55/205,288.41
  6. Step 6: Final answer
    x = 130,634.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.