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Finding the Fourth Proportional to 144,703.74, 216,793.17 and 106,846.77

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Solution

The fourth proportional to 144,703.74, 216,793.17 and 106,846.77 is: 160,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,703.74 : 216,793.17 = 106,846.77 : x
  2. Step 2: Convert to fraction form
    144,703.74/216,793.17 = 106,846.77/x
  3. Step 3: Cross multiply
    144,703.74x = 216,793.17 × 106,846.77
  4. Step 4: Simplify right side
    144,703.74x = 23,163,649,972.56
  5. Step 5: Solve for x
    x = 23,163,649,972.56/144,703.74
  6. Step 6: Final answer
    x = 160,076.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.