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Finding the Fourth Proportional to 106,228.57, 159,499.90 and 70,909.94

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Solution

The fourth proportional to 106,228.57, 159,499.90 and 70,909.94 is: 106,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,228.57 : 159,499.90 = 70,909.94 : x
  2. Step 2: Convert to fraction form
    106,228.57/159,499.90 = 70,909.94/x
  3. Step 3: Cross multiply
    106,228.57x = 159,499.90 × 70,909.94
  4. Step 4: Simplify right side
    106,228.57x = 11,310,127,530.34
  5. Step 5: Solve for x
    x = 11,310,127,530.34/106,228.57
  6. Step 6: Final answer
    x = 106,469.73

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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.