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Finding the Fourth Proportional to 201,242.10, 301,863.15 and 96,266.10

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Solution

The fourth proportional to 201,242.10, 301,863.15 and 96,266.10 is: 144,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,242.10 : 301,863.15 = 96,266.10 : x
  2. Step 2: Convert to fraction form
    201,242.10/301,863.15 = 96,266.10/x
  3. Step 3: Cross multiply
    201,242.10x = 301,863.15 × 96,266.10
  4. Step 4: Simplify right side
    201,242.10x = 29,059,188,184.22
  5. Step 5: Solve for x
    x = 29,059,188,184.22/201,242.10
  6. Step 6: Final answer
    x = 144,399.15

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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.