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Finding the Fourth Proportional to 200,084.31, 276,078.15 and 114,041.66

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Solution

The fourth proportional to 200,084.31, 276,078.15 and 114,041.66 is: 157,355.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,084.31 : 276,078.15 = 114,041.66 : x
  2. Step 2: Convert to fraction form
    200,084.31/276,078.15 = 114,041.66/x
  3. Step 3: Cross multiply
    200,084.31x = 276,078.15 × 114,041.66
  4. Step 4: Simplify right side
    200,084.31x = 31,484,409,135.34
  5. Step 5: Solve for x
    x = 31,484,409,135.34/200,084.31
  6. Step 6: Final answer
    x = 157,355.71

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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.