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Finding the Fourth Proportional to 208,854.38, 288,219.30 and 113,361.05

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Solution

The fourth proportional to 208,854.38, 288,219.30 and 113,361.05 is: 156,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.38 : 288,219.30 = 113,361.05 : x
  2. Step 2: Convert to fraction form
    208,854.38/288,219.30 = 113,361.05/x
  3. Step 3: Cross multiply
    208,854.38x = 288,219.30 × 113,361.05
  4. Step 4: Simplify right side
    208,854.38x = 32,672,842,478.27
  5. Step 5: Solve for x
    x = 32,672,842,478.27/208,854.38
  6. Step 6: Final answer
    x = 156,438.39

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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.