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Finding the Fourth Proportional to 122,298.24, 183,500 and 66,177.78

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Solution

The fourth proportional to 122,298.24, 183,500 and 66,177.78 is: 99,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,298.24 : 183,500 = 66,177.78 : x
  2. Step 2: Convert to fraction form
    122,298.24/183,500 = 66,177.78/x
  3. Step 3: Cross multiply
    122,298.24x = 183,500 × 66,177.78
  4. Step 4: Simplify right side
    122,298.24x = 12,143,622,630
  5. Step 5: Solve for x
    x = 12,143,622,630/122,298.24
  6. Step 6: Final answer
    x = 99,295.15

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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.