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Finding the Fourth Proportional to 104,206.69, 156,347.70 and 40,991.91

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Solution

The fourth proportional to 104,206.69, 156,347.70 and 40,991.91 is: 61,502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,206.69 : 156,347.70 = 40,991.91 : x
  2. Step 2: Convert to fraction form
    104,206.69/156,347.70 = 40,991.91/x
  3. Step 3: Cross multiply
    104,206.69x = 156,347.70 × 40,991.91
  4. Step 4: Simplify right side
    104,206.69x = 6,408,990,847.11
  5. Step 5: Solve for x
    x = 6,408,990,847.11/104,206.69
  6. Step 6: Final answer
    x = 61,502.68

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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.