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Finding the Fourth Proportional to 83,142.99, 114,504.08 and 77,806.59

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Solution

The fourth proportional to 83,142.99, 114,504.08 and 77,806.59 is: 107,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142.99 : 114,504.08 = 77,806.59 : x
  2. Step 2: Convert to fraction form
    83,142.99/114,504.08 = 77,806.59/x
  3. Step 3: Cross multiply
    83,142.99x = 114,504.08 × 77,806.59
  4. Step 4: Simplify right side
    83,142.99x = 8,909,171,616.85
  5. Step 5: Solve for x
    x = 8,909,171,616.85/83,142.99
  6. Step 6: Final answer
    x = 107,154.81

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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.