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Finding the Fourth Proportional to 148,718.50, 205,234.77 and 81,650.50

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Solution

The fourth proportional to 148,718.50, 205,234.77 and 81,650.50 is: 112,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,718.50 : 205,234.77 = 81,650.50 : x
  2. Step 2: Convert to fraction form
    148,718.50/205,234.77 = 81,650.50/x
  3. Step 3: Cross multiply
    148,718.50x = 205,234.77 × 81,650.50
  4. Step 4: Simplify right side
    148,718.50x = 16,757,521,587.89
  5. Step 5: Solve for x
    x = 16,757,521,587.89/148,718.50
  6. Step 6: Final answer
    x = 112,679.47

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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.