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Finding the Fourth Proportional to 200,099.24, 300,117.42 and 65,168.20

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Solution

The fourth proportional to 200,099.24, 300,117.42 and 65,168.20 is: 97,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,099.24 : 300,117.42 = 65,168.20 : x
  2. Step 2: Convert to fraction form
    200,099.24/300,117.42 = 65,168.20/x
  3. Step 3: Cross multiply
    200,099.24x = 300,117.42 × 65,168.20
  4. Step 4: Simplify right side
    200,099.24x = 19,558,112,050.04
  5. Step 5: Solve for x
    x = 19,558,112,050.04/200,099.24
  6. Step 6: Final answer
    x = 97,742.06

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