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Finding the Fourth Proportional to 200,724.81, 277,012.50 and 115,847.34

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Solution

The fourth proportional to 200,724.81, 277,012.50 and 115,847.34 is: 159,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,724.81 : 277,012.50 = 115,847.34 : x
  2. Step 2: Convert to fraction form
    200,724.81/277,012.50 = 115,847.34/x
  3. Step 3: Cross multiply
    200,724.81x = 277,012.50 × 115,847.34
  4. Step 4: Simplify right side
    200,724.81x = 32,091,161,271.75
  5. Step 5: Solve for x
    x = 32,091,161,271.75/200,724.81
  6. Step 6: Final answer
    x = 159,876.41

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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.