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Finding the Fourth Proportional to 195,428.64, 269,322.94 and 156,622.38

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Solution

The fourth proportional to 195,428.64, 269,322.94 and 156,622.38 is: 215,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,428.64 : 269,322.94 = 156,622.38 : x
  2. Step 2: Convert to fraction form
    195,428.64/269,322.94 = 156,622.38/x
  3. Step 3: Cross multiply
    195,428.64x = 269,322.94 × 156,622.38
  4. Step 4: Simplify right side
    195,428.64x = 42,181,998,786.53
  5. Step 5: Solve for x
    x = 42,181,998,786.53/195,428.64
  6. Step 6: Final answer
    x = 215,843.49

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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.