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Finding the Fourth Proportional to 208,537.20, 287,781.72 and 113,043.60

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Solution

The fourth proportional to 208,537.20, 287,781.72 and 113,043.60 is: 156,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,537.20 : 287,781.72 = 113,043.60 : x
  2. Step 2: Convert to fraction form
    208,537.20/287,781.72 = 113,043.60/x
  3. Step 3: Cross multiply
    208,537.20x = 287,781.72 × 113,043.60
  4. Step 4: Simplify right side
    208,537.20x = 32,531,881,642.99
  5. Step 5: Solve for x
    x = 32,531,881,642.99/208,537.20
  6. Step 6: Final answer
    x = 156,000.38

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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.