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Finding the Fourth Proportional to 208,204.90, 287,323.67 and 112,711.59

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Solution

The fourth proportional to 208,204.90, 287,323.67 and 112,711.59 is: 155,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.90 : 287,323.67 = 112,711.59 : x
  2. Step 2: Convert to fraction form
    208,204.90/287,323.67 = 112,711.59/x
  3. Step 3: Cross multiply
    208,204.90x = 287,323.67 × 112,711.59
  4. Step 4: Simplify right side
    208,204.90x = 32,384,707,690.34
  5. Step 5: Solve for x
    x = 32,384,707,690.34/208,204.90
  6. Step 6: Final answer
    x = 155,542.49

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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.