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Finding the Fourth Proportional to 148,846.50, 205,411.41 and 81,778.50

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Solution

The fourth proportional to 148,846.50, 205,411.41 and 81,778.50 is: 112,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,846.50 : 205,411.41 = 81,778.50 : x
  2. Step 2: Convert to fraction form
    148,846.50/205,411.41 = 81,778.50/x
  3. Step 3: Cross multiply
    148,846.50x = 205,411.41 × 81,778.50
  4. Step 4: Simplify right side
    148,846.50x = 16,798,236,992.69
  5. Step 5: Solve for x
    x = 16,798,236,992.69/148,846.50
  6. Step 6: Final answer
    x = 112,856.11

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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.