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Finding the Fourth Proportional to 208,517.84, 287,754.96 and 113,024.48

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Solution

The fourth proportional to 208,517.84, 287,754.96 and 113,024.48 is: 155,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,517.84 : 287,754.96 = 113,024.48 : x
  2. Step 2: Convert to fraction form
    208,517.84/287,754.96 = 113,024.48/x
  3. Step 3: Cross multiply
    208,517.84x = 287,754.96 × 113,024.48
  4. Step 4: Simplify right side
    208,517.84x = 32,523,354,721.42
  5. Step 5: Solve for x
    x = 32,523,354,721.42/208,517.84
  6. Step 6: Final answer
    x = 155,973.97

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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.