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Finding the Fourth Proportional to 273,262.55, 409,906.11 and 83,709.08

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Solution

The fourth proportional to 273,262.55, 409,906.11 and 83,709.08 is: 125,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,262.55 : 409,906.11 = 83,709.08 : x
  2. Step 2: Convert to fraction form
    273,262.55/409,906.11 = 83,709.08/x
  3. Step 3: Cross multiply
    273,262.55x = 409,906.11 × 83,709.08
  4. Step 4: Simplify right side
    273,262.55x = 34,312,861,304.95
  5. Step 5: Solve for x
    x = 34,312,861,304.95/273,262.55
  6. Step 6: Final answer
    x = 125,567.38

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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.