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Finding the Fourth Proportional to 133,859.98, 200,784.50 and 54,972.16

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Solution

The fourth proportional to 133,859.98, 200,784.50 and 54,972.16 is: 82,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,859.98 : 200,784.50 = 54,972.16 : x
  2. Step 2: Convert to fraction form
    133,859.98/200,784.50 = 54,972.16/x
  3. Step 3: Cross multiply
    133,859.98x = 200,784.50 × 54,972.16
  4. Step 4: Simplify right side
    133,859.98x = 11,037,557,659.52
  5. Step 5: Solve for x
    x = 11,037,557,659.52/133,859.98
  6. Step 6: Final answer
    x = 82,455.99

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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.