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Finding the Fourth Proportional to 208,092.12, 287,165.94 and 117,477.48

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Solution

The fourth proportional to 208,092.12, 287,165.94 and 117,477.48 is: 162,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,092.12 : 287,165.94 = 117,477.48 : x
  2. Step 2: Convert to fraction form
    208,092.12/287,165.94 = 117,477.48/x
  3. Step 3: Cross multiply
    208,092.12x = 287,165.94 × 117,477.48
  4. Step 4: Simplify right side
    208,092.12x = 33,735,530,973.03
  5. Step 5: Solve for x
    x = 33,735,530,973.03/208,092.12
  6. Step 6: Final answer
    x = 162,118.25

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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.