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Finding the Fourth Proportional to 208,556, 287,805.57 and 113,060.24

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Solution

The fourth proportional to 208,556, 287,805.57 and 113,060.24 is: 156,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,556 : 287,805.57 = 113,060.24 : x
  2. Step 2: Convert to fraction form
    208,556/287,805.57 = 113,060.24/x
  3. Step 3: Cross multiply
    208,556x = 287,805.57 × 113,060.24
  4. Step 4: Simplify right side
    208,556x = 32,539,366,817.54
  5. Step 5: Solve for x
    x = 32,539,366,817.54/208,556
  6. Step 6: Final answer
    x = 156,022.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.