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Finding the Fourth Proportional to 185,844.20, 256,486.98 and 110,393

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Solution

The fourth proportional to 185,844.20, 256,486.98 and 110,393 is: 152,355.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,844.20 : 256,486.98 = 110,393 : x
  2. Step 2: Convert to fraction form
    185,844.20/256,486.98 = 110,393/x
  3. Step 3: Cross multiply
    185,844.20x = 256,486.98 × 110,393
  4. Step 4: Simplify right side
    185,844.20x = 28,314,367,183.14
  5. Step 5: Solve for x
    x = 28,314,367,183.14/185,844.20
  6. Step 6: Final answer
    x = 152,355.40

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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.