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Finding the Fourth Proportional to 133,563.51, 200,027.24 and 77,285.03

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Solution

The fourth proportional to 133,563.51, 200,027.24 and 77,285.03 is: 115,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,563.51 : 200,027.24 = 77,285.03 : x
  2. Step 2: Convert to fraction form
    133,563.51/200,027.24 = 77,285.03/x
  3. Step 3: Cross multiply
    133,563.51x = 200,027.24 × 77,285.03
  4. Step 4: Simplify right side
    133,563.51x = 15,459,109,857.66
  5. Step 5: Solve for x
    x = 15,459,109,857.66/133,563.51
  6. Step 6: Final answer
    x = 115,743.51

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Why These Related Problems?

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