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Finding the Fourth Proportional to 122,992.22, 184,415.43 and 42,991.76

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Solution

The fourth proportional to 122,992.22, 184,415.43 and 42,991.76 is: 64,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,992.22 : 184,415.43 = 42,991.76 : x
  2. Step 2: Convert to fraction form
    122,992.22/184,415.43 = 42,991.76/x
  3. Step 3: Cross multiply
    122,992.22x = 184,415.43 × 42,991.76
  4. Step 4: Simplify right side
    122,992.22x = 7,928,344,529.11
  5. Step 5: Solve for x
    x = 7,928,344,529.11/122,992.22
  6. Step 6: Final answer
    x = 64,462.16

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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.