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Finding the Fourth Proportional to 202,863.71, 304,323.26 and 84,507.38

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Solution

The fourth proportional to 202,863.71, 304,323.26 and 84,507.38 is: 126,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,863.71 : 304,323.26 = 84,507.38 : x
  2. Step 2: Convert to fraction form
    202,863.71/304,323.26 = 84,507.38/x
  3. Step 3: Cross multiply
    202,863.71x = 304,323.26 × 84,507.38
  4. Step 4: Simplify right side
    202,863.71x = 25,717,559,431.51
  5. Step 5: Solve for x
    x = 25,717,559,431.51/202,863.71
  6. Step 6: Final answer
    x = 126,772.60

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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.