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Finding the Fourth Proportional to 117,200.82, 161,692.44 and 86,647.32

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Solution

The fourth proportional to 117,200.82, 161,692.44 and 86,647.32 is: 119,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,200.82 : 161,692.44 = 86,647.32 : x
  2. Step 2: Convert to fraction form
    117,200.82/161,692.44 = 86,647.32/x
  3. Step 3: Cross multiply
    117,200.82x = 161,692.44 × 86,647.32
  4. Step 4: Simplify right side
    117,200.82x = 14,010,216,590.26
  5. Step 5: Solve for x
    x = 14,010,216,590.26/117,200.82
  6. Step 6: Final answer
    x = 119,540.26

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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.