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Finding the Fourth Proportional to 208,763.96, 288,097.61 and 113,270.65

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Solution

The fourth proportional to 208,763.96, 288,097.61 and 113,270.65 is: 156,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,763.96 : 288,097.61 = 113,270.65 : x
  2. Step 2: Convert to fraction form
    208,763.96/288,097.61 = 113,270.65/x
  3. Step 3: Cross multiply
    208,763.96x = 288,097.61 × 113,270.65
  4. Step 4: Simplify right side
    208,763.96x = 32,633,004,519.25
  5. Step 5: Solve for x
    x = 32,633,004,519.25/208,763.96
  6. Step 6: Final answer
    x = 156,315.32

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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.