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Finding the Fourth Proportional to 208,521.30, 287,759.88 and 113,027.58

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Solution

The fourth proportional to 208,521.30, 287,759.88 and 113,027.58 is: 155,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,521.30 : 287,759.88 = 113,027.58 : x
  2. Step 2: Convert to fraction form
    208,521.30/287,759.88 = 113,027.58/x
  3. Step 3: Cross multiply
    208,521.30x = 287,759.88 × 113,027.58
  4. Step 4: Simplify right side
    208,521.30x = 32,524,802,857.49
  5. Step 5: Solve for x
    x = 32,524,802,857.49/208,521.30
  6. Step 6: Final answer
    x = 155,978.32

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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.