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Finding the Fourth Proportional to 138,833.28, 208,248.06 and 33,653.16

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Solution

The fourth proportional to 138,833.28, 208,248.06 and 33,653.16 is: 50,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,833.28 : 208,248.06 = 33,653.16 : x
  2. Step 2: Convert to fraction form
    138,833.28/208,248.06 = 33,653.16/x
  3. Step 3: Cross multiply
    138,833.28x = 208,248.06 × 33,653.16
  4. Step 4: Simplify right side
    138,833.28x = 7,008,205,282.87
  5. Step 5: Solve for x
    x = 7,008,205,282.87/138,833.28
  6. Step 6: Final answer
    x = 50,479.29

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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.