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Finding the Fourth Proportional to 208,853.33, 288,217.85 and 113,360.01

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Solution

The fourth proportional to 208,853.33, 288,217.85 and 113,360.01 is: 156,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,853.33 : 288,217.85 = 113,360.01 : x
  2. Step 2: Convert to fraction form
    208,853.33/288,217.85 = 113,360.01/x
  3. Step 3: Cross multiply
    208,853.33x = 288,217.85 × 113,360.01
  4. Step 4: Simplify right side
    208,853.33x = 32,672,377,791.38
  5. Step 5: Solve for x
    x = 32,672,377,791.38/208,853.33
  6. Step 6: Final answer
    x = 156,436.95

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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.