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Finding the Fourth Proportional to 185,798.70, 256,443.12 and 122,142.42

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Solution

The fourth proportional to 185,798.70, 256,443.12 and 122,142.42 is: 168,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,798.70 : 256,443.12 = 122,142.42 : x
  2. Step 2: Convert to fraction form
    185,798.70/256,443.12 = 122,142.42/x
  3. Step 3: Cross multiply
    185,798.70x = 256,443.12 × 122,142.42
  4. Step 4: Simplify right side
    185,798.70x = 31,322,583,269.15
  5. Step 5: Solve for x
    x = 31,322,583,269.15/185,798.70
  6. Step 6: Final answer
    x = 168,583.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.