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Finding the Fourth Proportional to 123,092.87, 184,393.04 and 97,835.00

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Solution

The fourth proportional to 123,092.87, 184,393.04 and 97,835.00 is: 146,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,092.87 : 184,393.04 = 97,835.00 : x
  2. Step 2: Convert to fraction form
    123,092.87/184,393.04 = 97,835.00/x
  3. Step 3: Cross multiply
    123,092.87x = 184,393.04 × 97,835.00
  4. Step 4: Simplify right side
    123,092.87x = 18,040,091,657.26
  5. Step 5: Solve for x
    x = 18,040,091,657.26/123,092.87
  6. Step 6: Final answer
    x = 146,556.76

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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.