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Finding the Fourth Proportional to 122,908.60, 184,071.30 and 75,669.40

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Solution

The fourth proportional to 122,908.60, 184,071.30 and 75,669.40 is: 113,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,908.60 : 184,071.30 = 75,669.40 : x
  2. Step 2: Convert to fraction form
    122,908.60/184,071.30 = 75,669.40/x
  3. Step 3: Cross multiply
    122,908.60x = 184,071.30 × 75,669.40
  4. Step 4: Simplify right side
    122,908.60x = 13,928,564,828.22
  5. Step 5: Solve for x
    x = 13,928,564,828.22/122,908.60
  6. Step 6: Final answer
    x = 113,324.57

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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.