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Finding the Fourth Proportional to 200,729.96, 300,999.60 and 116,516.10

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Solution

The fourth proportional to 200,729.96, 300,999.60 and 116,516.10 is: 174,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,729.96 : 300,999.60 = 116,516.10 : x
  2. Step 2: Convert to fraction form
    200,729.96/300,999.60 = 116,516.10/x
  3. Step 3: Cross multiply
    200,729.96x = 300,999.60 × 116,516.10
  4. Step 4: Simplify right side
    200,729.96x = 35,071,299,493.56
  5. Step 5: Solve for x
    x = 35,071,299,493.56/200,729.96
  6. Step 6: Final answer
    x = 174,718.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.