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Finding the Fourth Proportional to 208,815.57, 288,163.98 and 113,320.22

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Solution

The fourth proportional to 208,815.57, 288,163.98 and 113,320.22 is: 156,381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,815.57 : 288,163.98 = 113,320.22 : x
  2. Step 2: Convert to fraction form
    208,815.57/288,163.98 = 113,320.22/x
  3. Step 3: Cross multiply
    208,815.57x = 288,163.98 × 113,320.22
  4. Step 4: Simplify right side
    208,815.57x = 32,654,804,168.86
  5. Step 5: Solve for x
    x = 32,654,804,168.86/208,815.57
  6. Step 6: Final answer
    x = 156,381.08

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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.