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Finding the Fourth Proportional to 148,589.50, 205,057.11 and 81,521.50

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Solution

The fourth proportional to 148,589.50, 205,057.11 and 81,521.50 is: 112,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,589.50 : 205,057.11 = 81,521.50 : x
  2. Step 2: Convert to fraction form
    148,589.50/205,057.11 = 81,521.50/x
  3. Step 3: Cross multiply
    148,589.50x = 205,057.11 × 81,521.50
  4. Step 4: Simplify right side
    148,589.50x = 16,716,563,192.87
  5. Step 5: Solve for x
    x = 16,716,563,192.87/148,589.50
  6. Step 6: Final answer
    x = 112,501.65

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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.