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Finding the Fourth Proportional to 208,155.97, 287,255.55 and 112,662.64

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Solution

The fourth proportional to 208,155.97, 287,255.55 and 112,662.64 is: 155,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,155.97 : 287,255.55 = 112,662.64 : x
  2. Step 2: Convert to fraction form
    208,155.97/287,255.55 = 112,662.64/x
  3. Step 3: Cross multiply
    208,155.97x = 287,255.55 × 112,662.64
  4. Step 4: Simplify right side
    208,155.97x = 32,362,968,617.65
  5. Step 5: Solve for x
    x = 32,362,968,617.65/208,155.97
  6. Step 6: Final answer
    x = 155,474.61

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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.