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Finding the Fourth Proportional to 267,808.84, 401,715.53 and 68,129.40

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Solution

The fourth proportional to 267,808.84, 401,715.53 and 68,129.40 is: 102,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,808.84 : 401,715.53 = 68,129.40 : x
  2. Step 2: Convert to fraction form
    267,808.84/401,715.53 = 68,129.40/x
  3. Step 3: Cross multiply
    267,808.84x = 401,715.53 × 68,129.40
  4. Step 4: Simplify right side
    267,808.84x = 27,368,638,029.58
  5. Step 5: Solve for x
    x = 27,368,638,029.58/267,808.84
  6. Step 6: Final answer
    x = 102,194.68

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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.