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Finding the Fourth Proportional to 148,203.50, 204,520.84 and 81,135.50

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Solution

The fourth proportional to 148,203.50, 204,520.84 and 81,135.50 is: 111,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,203.50 : 204,520.84 = 81,135.50 : x
  2. Step 2: Convert to fraction form
    148,203.50/204,520.84 = 81,135.50/x
  3. Step 3: Cross multiply
    148,203.50x = 204,520.84 × 81,135.50
  4. Step 4: Simplify right side
    148,203.50x = 16,593,900,613.82
  5. Step 5: Solve for x
    x = 16,593,900,613.82/148,203.50
  6. Step 6: Final answer
    x = 111,967.00

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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.