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Finding the Fourth Proportional to 122,838.78, 184,141.53 and 48,006.93

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Solution

The fourth proportional to 122,838.78, 184,141.53 and 48,006.93 is: 71,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,838.78 : 184,141.53 = 48,006.93 : x
  2. Step 2: Convert to fraction form
    122,838.78/184,141.53 = 48,006.93/x
  3. Step 3: Cross multiply
    122,838.78x = 184,141.53 × 48,006.93
  4. Step 4: Simplify right side
    122,838.78x = 8,840,069,540.80
  5. Step 5: Solve for x
    x = 8,840,069,540.80/122,838.78
  6. Step 6: Final answer
    x = 71,964.81

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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.