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Finding the Fourth Proportional to 142,401.33, 213,616.62 and 53,729.46

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Solution

The fourth proportional to 142,401.33, 213,616.62 and 53,729.46 is: 80,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,401.33 : 213,616.62 = 53,729.46 : x
  2. Step 2: Convert to fraction form
    142,401.33/213,616.62 = 53,729.46/x
  3. Step 3: Cross multiply
    142,401.33x = 213,616.62 × 53,729.46
  4. Step 4: Simplify right side
    142,401.33x = 11,477,505,639.63
  5. Step 5: Solve for x
    x = 11,477,505,639.63/142,401.33
  6. Step 6: Final answer
    x = 80,599.71

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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.