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Finding the Fourth Proportional to 256,442.44, 353,872.02 and 141,719.71

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Solution

The fourth proportional to 256,442.44, 353,872.02 and 141,719.71 is: 195,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.44 : 353,872.02 = 141,719.71 : x
  2. Step 2: Convert to fraction form
    256,442.44/353,872.02 = 141,719.71/x
  3. Step 3: Cross multiply
    256,442.44x = 353,872.02 × 141,719.71
  4. Step 4: Simplify right side
    256,442.44x = 50,150,638,282.15
  5. Step 5: Solve for x
    x = 50,150,638,282.15/256,442.44
  6. Step 6: Final answer
    x = 195,562.95

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Why These Related Problems?

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