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Finding the Fourth Proportional to 122,838.64, 184,258 and 34,092.16

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Solution

The fourth proportional to 122,838.64, 184,258 and 34,092.16 is: 51,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,838.64 : 184,258 = 34,092.16 : x
  2. Step 2: Convert to fraction form
    122,838.64/184,258 = 34,092.16/x
  3. Step 3: Cross multiply
    122,838.64x = 184,258 × 34,092.16
  4. Step 4: Simplify right side
    122,838.64x = 6,281,753,217.28
  5. Step 5: Solve for x
    x = 6,281,753,217.28/122,838.64
  6. Step 6: Final answer
    x = 51,138.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.