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Finding the Fourth Proportional to 122,993.22, 184,416.93 and 42,992.76

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Solution

The fourth proportional to 122,993.22, 184,416.93 and 42,992.76 is: 64,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,993.22 : 184,416.93 = 42,992.76 : x
  2. Step 2: Convert to fraction form
    122,993.22/184,416.93 = 42,992.76/x
  3. Step 3: Cross multiply
    122,993.22x = 184,416.93 × 42,992.76
  4. Step 4: Simplify right side
    122,993.22x = 7,928,592,811.43
  5. Step 5: Solve for x
    x = 7,928,592,811.43/122,993.22
  6. Step 6: Final answer
    x = 64,463.66

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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.