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Finding the Fourth Proportional to 208,521.88, 287,752.49 and 113,026.53

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Solution

The fourth proportional to 208,521.88, 287,752.49 and 113,026.53 is: 155,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.88 : 287,752.49 = 113,026.53 : x
  2. Step 2: Convert to fraction form
    208,521.88/287,752.49 = 113,026.53/x
  3. Step 3: Cross multiply
    208,521.88x = 287,752.49 × 113,026.53
  4. Step 4: Simplify right side
    208,521.88x = 32,523,665,443.56
  5. Step 5: Solve for x
    x = 32,523,665,443.56/208,521.88
  6. Step 6: Final answer
    x = 155,972.44

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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.