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Finding the Fourth Proportional to 341,856.73, 512,833.70 and 105,219.13

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Solution

The fourth proportional to 341,856.73, 512,833.70 and 105,219.13 is: 157,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,856.73 : 512,833.70 = 105,219.13 : x
  2. Step 2: Convert to fraction form
    341,856.73/512,833.70 = 105,219.13/x
  3. Step 3: Cross multiply
    341,856.73x = 512,833.70 × 105,219.13
  4. Step 4: Simplify right side
    341,856.73x = 53,959,915,748.68
  5. Step 5: Solve for x
    x = 53,959,915,748.68/341,856.73
  6. Step 6: Final answer
    x = 157,843.65

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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.