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Finding the Fourth Proportional to 148,766.50, 205,297.77 and 81,698.50

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Solution

The fourth proportional to 148,766.50, 205,297.77 and 81,698.50 is: 112,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,766.50 : 205,297.77 = 81,698.50 : x
  2. Step 2: Convert to fraction form
    148,766.50/205,297.77 = 81,698.50/x
  3. Step 3: Cross multiply
    148,766.50x = 205,297.77 × 81,698.50
  4. Step 4: Simplify right side
    148,766.50x = 16,772,519,862.35
  5. Step 5: Solve for x
    x = 16,772,519,862.35/148,766.50
  6. Step 6: Final answer
    x = 112,743.93

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Why These Related Problems?

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