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Finding the Fourth Proportional to 208,027.38, 287,076.92 and 112,533.84

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Solution

The fourth proportional to 208,027.38, 287,076.92 and 112,533.84 is: 155,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,027.38 : 287,076.92 = 112,533.84 : x
  2. Step 2: Convert to fraction form
    208,027.38/287,076.92 = 112,533.84/x
  3. Step 3: Cross multiply
    208,027.38x = 287,076.92 × 112,533.84
  4. Step 4: Simplify right side
    208,027.38x = 32,305,868,182.97
  5. Step 5: Solve for x
    x = 32,305,868,182.97/208,027.38
  6. Step 6: Final answer
    x = 155,296.23

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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.