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Finding the Fourth Proportional to 208,136.24, 287,227 and 112,642.80

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Solution

The fourth proportional to 208,136.24, 287,227 and 112,642.80 is: 155,446.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,136.24 : 287,227 = 112,642.80 : x
  2. Step 2: Convert to fraction form
    208,136.24/287,227 = 112,642.80/x
  3. Step 3: Cross multiply
    208,136.24x = 287,227 × 112,642.80
  4. Step 4: Simplify right side
    208,136.24x = 32,354,053,515.60
  5. Step 5: Solve for x
    x = 32,354,053,515.60/208,136.24
  6. Step 6: Final answer
    x = 155,446.52

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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.