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Finding the Fourth Proportional to 208,294.72, 287,446.28 and 112,801.12

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Solution

The fourth proportional to 208,294.72, 287,446.28 and 112,801.12 is: 155,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294.72 : 287,446.28 = 112,801.12 : x
  2. Step 2: Convert to fraction form
    208,294.72/287,446.28 = 112,801.12/x
  3. Step 3: Cross multiply
    208,294.72x = 287,446.28 × 112,801.12
  4. Step 4: Simplify right side
    208,294.72x = 32,424,261,759.83
  5. Step 5: Solve for x
    x = 32,424,261,759.83/208,294.72
  6. Step 6: Final answer
    x = 155,665.31

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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.