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Finding the Fourth Proportional to 122,165.86, 183,133.86 and 65,921.68

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Solution

The fourth proportional to 122,165.86, 183,133.86 and 65,921.68 is: 98,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,165.86 : 183,133.86 = 65,921.68 : x
  2. Step 2: Convert to fraction form
    122,165.86/183,133.86 = 65,921.68/x
  3. Step 3: Cross multiply
    122,165.86x = 183,133.86 × 65,921.68
  4. Step 4: Simplify right side
    122,165.86x = 12,072,491,716.08
  5. Step 5: Solve for x
    x = 12,072,491,716.08/122,165.86
  6. Step 6: Final answer
    x = 98,820.50

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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.