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Finding the Fourth Proportional to 267,806.84, 401,712.53 and 68,127.40

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Solution

The fourth proportional to 267,806.84, 401,712.53 and 68,127.40 is: 102,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,806.84 : 401,712.53 = 68,127.40 : x
  2. Step 2: Convert to fraction form
    267,806.84/401,712.53 = 68,127.40/x
  3. Step 3: Cross multiply
    267,806.84x = 401,712.53 × 68,127.40
  4. Step 4: Simplify right side
    267,806.84x = 27,367,628,693.02
  5. Step 5: Solve for x
    x = 27,367,628,693.02/267,806.84
  6. Step 6: Final answer
    x = 102,191.67

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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.