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Finding the Fourth Proportional to 123,763.99, 185,616.22 and 57,140.11

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Solution

The fourth proportional to 123,763.99, 185,616.22 and 57,140.11 is: 85,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,763.99 : 185,616.22 = 57,140.11 : x
  2. Step 2: Convert to fraction form
    123,763.99/185,616.22 = 57,140.11/x
  3. Step 3: Cross multiply
    123,763.99x = 185,616.22 × 57,140.11
  4. Step 4: Simplify right side
    123,763.99x = 10,606,131,228.58
  5. Step 5: Solve for x
    x = 10,606,131,228.58/123,763.99
  6. Step 6: Final answer
    x = 85,696.42

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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.