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Finding the Fourth Proportional to 203,468.66, 280,790.11 and 112,828.44

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Solution

The fourth proportional to 203,468.66, 280,790.11 and 112,828.44 is: 155,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,468.66 : 280,790.11 = 112,828.44 : x
  2. Step 2: Convert to fraction form
    203,468.66/280,790.11 = 112,828.44/x
  3. Step 3: Cross multiply
    203,468.66x = 280,790.11 × 112,828.44
  4. Step 4: Simplify right side
    203,468.66x = 31,681,111,272.73
  5. Step 5: Solve for x
    x = 31,681,111,272.73/203,468.66
  6. Step 6: Final answer
    x = 155,705.12

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Why These Related Problems?

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