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Finding the Fourth Proportional to 203,564.21, 280,923.12 and 112,917.23

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Solution

The fourth proportional to 203,564.21, 280,923.12 and 112,917.23 is: 155,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,564.21 : 280,923.12 = 112,917.23 : x
  2. Step 2: Convert to fraction form
    203,564.21/280,923.12 = 112,917.23/x
  3. Step 3: Cross multiply
    203,564.21x = 280,923.12 × 112,917.23
  4. Step 4: Simplify right side
    203,564.21x = 31,721,060,553.36
  5. Step 5: Solve for x
    x = 31,721,060,553.36/203,564.21
  6. Step 6: Final answer
    x = 155,828.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.