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Finding the Fourth Proportional to 122,873, 184,288.90 and 34,135.48

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Solution

The fourth proportional to 122,873, 184,288.90 and 34,135.48 is: 51,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,873 : 184,288.90 = 34,135.48 : x
  2. Step 2: Convert to fraction form
    122,873/184,288.90 = 34,135.48/x
  3. Step 3: Cross multiply
    122,873x = 184,288.90 × 34,135.48
  4. Step 4: Simplify right side
    122,873x = 6,290,790,060.17
  5. Step 5: Solve for x
    x = 6,290,790,060.17/122,873
  6. Step 6: Final answer
    x = 51,197.50

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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.