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Finding the Fourth Proportional to 203,603.46, 280,986.07 and 117,566.07

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Solution

The fourth proportional to 203,603.46, 280,986.07 and 117,566.07 is: 162,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,603.46 : 280,986.07 = 117,566.07 : x
  2. Step 2: Convert to fraction form
    203,603.46/280,986.07 = 117,566.07/x
  3. Step 3: Cross multiply
    203,603.46x = 280,986.07 × 117,566.07
  4. Step 4: Simplify right side
    203,603.46x = 33,034,427,974.64
  5. Step 5: Solve for x
    x = 33,034,427,974.64/203,603.46
  6. Step 6: Final answer
    x = 162,248.85

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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.