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Finding the Fourth Proportional to 122,841.78, 184,146 and 48,009.96

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Solution

The fourth proportional to 122,841.78, 184,146 and 48,009.96 is: 71,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,841.78 : 184,146 = 48,009.96 : x
  2. Step 2: Convert to fraction form
    122,841.78/184,146 = 48,009.96/x
  3. Step 3: Cross multiply
    122,841.78x = 184,146 × 48,009.96
  4. Step 4: Simplify right side
    122,841.78x = 8,840,842,094.16
  5. Step 5: Solve for x
    x = 8,840,842,094.16/122,841.78
  6. Step 6: Final answer
    x = 71,969.34

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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.