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Finding the Fourth Proportional to 209,196.46, 288,691.14 and 113,703.16

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Solution

The fourth proportional to 209,196.46, 288,691.14 and 113,703.16 is: 156,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,196.46 : 288,691.14 = 113,703.16 : x
  2. Step 2: Convert to fraction form
    209,196.46/288,691.14 = 113,703.16/x
  3. Step 3: Cross multiply
    209,196.46x = 288,691.14 × 113,703.16
  4. Step 4: Simplify right side
    209,196.46x = 32,825,094,882.00
  5. Step 5: Solve for x
    x = 32,825,094,882.00/209,196.46
  6. Step 6: Final answer
    x = 156,910.37

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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.