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Finding the Fourth Proportional to 122,973.72, 184,505.94 and 48,129.72

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Solution

The fourth proportional to 122,973.72, 184,505.94 and 48,129.72 is: 72,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,973.72 : 184,505.94 = 48,129.72 : x
  2. Step 2: Convert to fraction form
    122,973.72/184,505.94 = 48,129.72/x
  3. Step 3: Cross multiply
    122,973.72x = 184,505.94 × 48,129.72
  4. Step 4: Simplify right side
    122,973.72x = 8,880,219,230.54
  5. Step 5: Solve for x
    x = 8,880,219,230.54/122,973.72
  6. Step 6: Final answer
    x = 72,212.33

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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.