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Finding the Fourth Proportional to 256,293.34, 384,296.04 and 106,432.82

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Solution

The fourth proportional to 256,293.34, 384,296.04 and 106,432.82 is: 159,589.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,293.34 : 384,296.04 = 106,432.82 : x
  2. Step 2: Convert to fraction form
    256,293.34/384,296.04 = 106,432.82/x
  3. Step 3: Cross multiply
    256,293.34x = 384,296.04 × 106,432.82
  4. Step 4: Simplify right side
    256,293.34x = 40,901,711,252.03
  5. Step 5: Solve for x
    x = 40,901,711,252.03/256,293.34
  6. Step 6: Final answer
    x = 159,589.44

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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.