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Finding the Fourth Proportional to 256,653.94, 385,046.61 and 106,844.44

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Solution

The fourth proportional to 256,653.94, 385,046.61 and 106,844.44 is: 160,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,653.94 : 385,046.61 = 106,844.44 : x
  2. Step 2: Convert to fraction form
    256,653.94/385,046.61 = 106,844.44/x
  3. Step 3: Cross multiply
    256,653.94x = 385,046.61 × 106,844.44
  4. Step 4: Simplify right side
    256,653.94x = 41,140,086,959.89
  5. Step 5: Solve for x
    x = 41,140,086,959.89/256,653.94
  6. Step 6: Final answer
    x = 160,294.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.