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Finding the Fourth Proportional to 258,706.27, 356,709.24 and 177,073.86

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Solution

The fourth proportional to 258,706.27, 356,709.24 and 177,073.86 is: 244,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,706.27 : 356,709.24 = 177,073.86 : x
  2. Step 2: Convert to fraction form
    258,706.27/356,709.24 = 177,073.86/x
  3. Step 3: Cross multiply
    258,706.27x = 356,709.24 × 177,073.86
  4. Step 4: Simplify right side
    258,706.27x = 63,163,882,024.47
  5. Step 5: Solve for x
    x = 63,163,882,024.47/258,706.27
  6. Step 6: Final answer
    x = 244,152.89

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