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Finding the Fourth Proportional to 232,692.90, 321,116 and 132,090.90

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Solution

The fourth proportional to 232,692.90, 321,116 and 132,090.90 is: 182,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,692.90 : 321,116 = 132,090.90 : x
  2. Step 2: Convert to fraction form
    232,692.90/321,116 = 132,090.90/x
  3. Step 3: Cross multiply
    232,692.90x = 321,116 × 132,090.90
  4. Step 4: Simplify right side
    232,692.90x = 42,416,501,444.40
  5. Step 5: Solve for x
    x = 42,416,501,444.40/232,692.90
  6. Step 6: Final answer
    x = 182,285.33

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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.