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Finding the Fourth Proportional to 200,086.82, 276,127.47 and 114,059.35

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Solution

The fourth proportional to 200,086.82, 276,127.47 and 114,059.35 is: 157,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,086.82 : 276,127.47 = 114,059.35 : x
  2. Step 2: Convert to fraction form
    200,086.82/276,127.47 = 114,059.35/x
  3. Step 3: Cross multiply
    200,086.82x = 276,127.47 × 114,059.35
  4. Step 4: Simplify right side
    200,086.82x = 31,494,918,364.71
  5. Step 5: Solve for x
    x = 31,494,918,364.71/200,086.82
  6. Step 6: Final answer
    x = 157,406.27

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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.