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Finding the Fourth Proportional to 201,214.60, 301,712.55 and 68,026.30

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Solution

The fourth proportional to 201,214.60, 301,712.55 and 68,026.30 is: 102,002.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214.60 : 301,712.55 = 68,026.30 : x
  2. Step 2: Convert to fraction form
    201,214.60/301,712.55 = 68,026.30/x
  3. Step 3: Cross multiply
    201,214.60x = 301,712.55 × 68,026.30
  4. Step 4: Simplify right side
    201,214.60x = 20,524,388,440.07
  5. Step 5: Solve for x
    x = 20,524,388,440.07/201,214.60
  6. Step 6: Final answer
    x = 102,002.48

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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.