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Finding the Fourth Proportional to 200,039.31, 276,088.41 and 115,205.58

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Solution

The fourth proportional to 200,039.31, 276,088.41 and 115,205.58 is: 159,003.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,039.31 : 276,088.41 = 115,205.58 : x
  2. Step 2: Convert to fraction form
    200,039.31/276,088.41 = 115,205.58/x
  3. Step 3: Cross multiply
    200,039.31x = 276,088.41 × 115,205.58
  4. Step 4: Simplify right side
    200,039.31x = 31,806,925,405.33
  5. Step 5: Solve for x
    x = 31,806,925,405.33/200,039.31
  6. Step 6: Final answer
    x = 159,003.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.