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Finding the Fourth Proportional to 104,806.67, 156,727.13 and 77,839.92

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Solution

The fourth proportional to 104,806.67, 156,727.13 and 77,839.92 is: 116,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,806.67 : 156,727.13 = 77,839.92 : x
  2. Step 2: Convert to fraction form
    104,806.67/156,727.13 = 77,839.92/x
  3. Step 3: Cross multiply
    104,806.67x = 156,727.13 × 77,839.92
  4. Step 4: Simplify right side
    104,806.67x = 12,199,626,871.83
  5. Step 5: Solve for x
    x = 12,199,626,871.83/104,806.67
  6. Step 6: Final answer
    x = 116,401.25

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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.