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Finding the Fourth Proportional to 194,896.68, 269,215.56 and 156,799.68

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Solution

The fourth proportional to 194,896.68, 269,215.56 and 156,799.68 is: 216,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,896.68 : 269,215.56 = 156,799.68 : x
  2. Step 2: Convert to fraction form
    194,896.68/269,215.56 = 156,799.68/x
  3. Step 3: Cross multiply
    194,896.68x = 269,215.56 × 156,799.68
  4. Step 4: Simplify right side
    194,896.68x = 42,212,913,659.02
  5. Step 5: Solve for x
    x = 42,212,913,659.02/194,896.68
  6. Step 6: Final answer
    x = 216,591.24

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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.