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Finding the Fourth Proportional to 282,122.36, 423,172.62 and 71,765.78

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Solution

The fourth proportional to 282,122.36, 423,172.62 and 71,765.78 is: 107,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,122.36 : 423,172.62 = 71,765.78 : x
  2. Step 2: Convert to fraction form
    282,122.36/423,172.62 = 71,765.78/x
  3. Step 3: Cross multiply
    282,122.36x = 423,172.62 × 71,765.78
  4. Step 4: Simplify right side
    282,122.36x = 30,369,313,148.94
  5. Step 5: Solve for x
    x = 30,369,313,148.94/282,122.36
  6. Step 6: Final answer
    x = 107,645.89

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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.