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Finding the Fourth Proportional to 208,755.60, 288,083.88 and 113,262.48

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Solution

The fourth proportional to 208,755.60, 288,083.88 and 113,262.48 is: 156,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,755.60 : 288,083.88 = 113,262.48 : x
  2. Step 2: Convert to fraction form
    208,755.60/288,083.88 = 113,262.48/x
  3. Step 3: Cross multiply
    208,755.60x = 288,083.88 × 113,262.48
  4. Step 4: Simplify right side
    208,755.60x = 32,629,094,696.82
  5. Step 5: Solve for x
    x = 32,629,094,696.82/208,755.60
  6. Step 6: Final answer
    x = 156,302.85

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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.