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Finding the Fourth Proportional to 206,071.69, 284,378.88 and 125,499.19

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Solution

The fourth proportional to 206,071.69, 284,378.88 and 125,499.19 is: 173,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,071.69 : 284,378.88 = 125,499.19 : x
  2. Step 2: Convert to fraction form
    206,071.69/284,378.88 = 125,499.19/x
  3. Step 3: Cross multiply
    206,071.69x = 284,378.88 × 125,499.19
  4. Step 4: Simplify right side
    206,071.69x = 35,689,319,093.11
  5. Step 5: Solve for x
    x = 35,689,319,093.11/206,071.69
  6. Step 6: Final answer
    x = 173,188.85

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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.