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Finding the Fourth Proportional to 203,090.52, 280,267.13 and 112,448.14

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Solution

The fourth proportional to 203,090.52, 280,267.13 and 112,448.14 is: 155,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,090.52 : 280,267.13 = 112,448.14 : x
  2. Step 2: Convert to fraction form
    203,090.52/280,267.13 = 112,448.14/x
  3. Step 3: Cross multiply
    203,090.52x = 280,267.13 × 112,448.14
  4. Step 4: Simplify right side
    203,090.52x = 31,515,515,867.31
  5. Step 5: Solve for x
    x = 31,515,515,867.31/203,090.52
  6. Step 6: Final answer
    x = 155,179.65

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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.