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Finding the Fourth Proportional to 208,847.22, 288,209.37 and 113,353.93

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Solution

The fourth proportional to 208,847.22, 288,209.37 and 113,353.93 is: 156,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.22 : 288,209.37 = 113,353.93 : x
  2. Step 2: Convert to fraction form
    208,847.22/288,209.37 = 113,353.93/x
  3. Step 3: Cross multiply
    208,847.22x = 288,209.37 × 113,353.93
  4. Step 4: Simplify right side
    208,847.22x = 32,669,664,752.32
  5. Step 5: Solve for x
    x = 32,669,664,752.32/208,847.22
  6. Step 6: Final answer
    x = 156,428.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.