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Finding the Fourth Proportional to 200,302.16, 276,412.92 and 115,414.16

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Solution

The fourth proportional to 200,302.16, 276,412.92 and 115,414.16 is: 159,269.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,302.16 : 276,412.92 = 115,414.16 : x
  2. Step 2: Convert to fraction form
    200,302.16/276,412.92 = 115,414.16/x
  3. Step 3: Cross multiply
    200,302.16x = 276,412.92 × 115,414.16
  4. Step 4: Simplify right side
    200,302.16x = 31,901,964,974.95
  5. Step 5: Solve for x
    x = 31,901,964,974.95/200,302.16
  6. Step 6: Final answer
    x = 159,269.20

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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.