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Finding the Fourth Proportional to 201,099.40, 301,649.10 and 82,731.40

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Solution

The fourth proportional to 201,099.40, 301,649.10 and 82,731.40 is: 124,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,099.40 : 301,649.10 = 82,731.40 : x
  2. Step 2: Convert to fraction form
    201,099.40/301,649.10 = 82,731.40/x
  3. Step 3: Cross multiply
    201,099.40x = 301,649.10 × 82,731.40
  4. Step 4: Simplify right side
    201,099.40x = 24,955,852,351.74
  5. Step 5: Solve for x
    x = 24,955,852,351.74/201,099.40
  6. Step 6: Final answer
    x = 124,097.10

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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.