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Finding the Fourth Proportional to 142,325.66, 213,418.83 and 83,176.22

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Solution

The fourth proportional to 142,325.66, 213,418.83 and 83,176.22 is: 124,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,325.66 : 213,418.83 = 83,176.22 : x
  2. Step 2: Convert to fraction form
    142,325.66/213,418.83 = 83,176.22/x
  3. Step 3: Cross multiply
    142,325.66x = 213,418.83 × 83,176.22
  4. Step 4: Simplify right side
    142,325.66x = 17,751,371,556.22
  5. Step 5: Solve for x
    x = 17,751,371,556.22/142,325.66
  6. Step 6: Final answer
    x = 124,723.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.