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Finding the Fourth Proportional to 200,637.95, 276,900.17 and 114,609.80

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Solution

The fourth proportional to 200,637.95, 276,900.17 and 114,609.80 is: 158,172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,637.95 : 276,900.17 = 114,609.80 : x
  2. Step 2: Convert to fraction form
    200,637.95/276,900.17 = 114,609.80/x
  3. Step 3: Cross multiply
    200,637.95x = 276,900.17 × 114,609.80
  4. Step 4: Simplify right side
    200,637.95x = 31,735,471,146.12
  5. Step 5: Solve for x
    x = 31,735,471,146.12/200,637.95
  6. Step 6: Final answer
    x = 158,172.83

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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.