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Finding the Fourth Proportional to 205,137.80, 307,706.70 and 163,665.80

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Solution

The fourth proportional to 205,137.80, 307,706.70 and 163,665.80 is: 245,498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,137.80 : 307,706.70 = 163,665.80 : x
  2. Step 2: Convert to fraction form
    205,137.80/307,706.70 = 163,665.80/x
  3. Step 3: Cross multiply
    205,137.80x = 307,706.70 × 163,665.80
  4. Step 4: Simplify right side
    205,137.80x = 50,361,063,220.86
  5. Step 5: Solve for x
    x = 50,361,063,220.86/205,137.80
  6. Step 6: Final answer
    x = 245,498.70

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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.