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Finding the Fourth Proportional to 208,847.07, 288,209.22 and 113,353.80

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Solution

The fourth proportional to 208,847.07, 288,209.22 and 113,353.80 is: 156,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,847.07 : 288,209.22 = 113,353.80 : x
  2. Step 2: Convert to fraction form
    208,847.07/288,209.22 = 113,353.80/x
  3. Step 3: Cross multiply
    208,847.07x = 288,209.22 × 113,353.80
  4. Step 4: Simplify right side
    208,847.07x = 32,669,610,282.04
  5. Step 5: Solve for x
    x = 32,669,610,282.04/208,847.07
  6. Step 6: Final answer
    x = 156,428.39

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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.