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Finding the Fourth Proportional to 122,164.10, 183,308.85 and 58,194.69

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Solution

The fourth proportional to 122,164.10, 183,308.85 and 58,194.69 is: 87,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,164.10 : 183,308.85 = 58,194.69 : x
  2. Step 2: Convert to fraction form
    122,164.10/183,308.85 = 58,194.69/x
  3. Step 3: Cross multiply
    122,164.10x = 183,308.85 × 58,194.69
  4. Step 4: Simplify right side
    122,164.10x = 10,667,601,700.01
  5. Step 5: Solve for x
    x = 10,667,601,700.01/122,164.10
  6. Step 6: Final answer
    x = 87,321.91

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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.