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Finding the Fourth Proportional to 136,285.69, 204,455.28 and 47,542.09

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Solution

The fourth proportional to 136,285.69, 204,455.28 and 47,542.09 is: 71,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,285.69 : 204,455.28 = 47,542.09 : x
  2. Step 2: Convert to fraction form
    136,285.69/204,455.28 = 47,542.09/x
  3. Step 3: Cross multiply
    136,285.69x = 204,455.28 × 47,542.09
  4. Step 4: Simplify right side
    136,285.69x = 9,720,231,322.74
  5. Step 5: Solve for x
    x = 9,720,231,322.74/136,285.69
  6. Step 6: Final answer
    x = 71,322.46

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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.