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Finding the Fourth Proportional to 131,090.56, 196,832.76 and 74,994

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Solution

The fourth proportional to 131,090.56, 196,832.76 and 74,994 is: 112,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,090.56 : 196,832.76 = 74,994 : x
  2. Step 2: Convert to fraction form
    131,090.56/196,832.76 = 74,994/x
  3. Step 3: Cross multiply
    131,090.56x = 196,832.76 × 74,994
  4. Step 4: Simplify right side
    131,090.56x = 14,761,276,003.44
  5. Step 5: Solve for x
    x = 14,761,276,003.44/131,090.56
  6. Step 6: Final answer
    x = 112,603.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.