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Finding the Fourth Proportional to 208,584.60, 287,816.58 and 116,703.32

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Solution

The fourth proportional to 208,584.60, 287,816.58 and 116,703.32 is: 161,033.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,584.60 : 287,816.58 = 116,703.32 : x
  2. Step 2: Convert to fraction form
    208,584.60/287,816.58 = 116,703.32/x
  3. Step 3: Cross multiply
    208,584.60x = 287,816.58 × 116,703.32
  4. Step 4: Simplify right side
    208,584.60x = 33,589,150,437.05
  5. Step 5: Solve for x
    x = 33,589,150,437.05/208,584.60
  6. Step 6: Final answer
    x = 161,033.70

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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.