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Finding the Fourth Proportional to 273,518.81, 410,310.97 and 83,954.35

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Solution

The fourth proportional to 273,518.81, 410,310.97 and 83,954.35 is: 125,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,518.81 : 410,310.97 = 83,954.35 : x
  2. Step 2: Convert to fraction form
    273,518.81/410,310.97 = 83,954.35/x
  3. Step 3: Cross multiply
    273,518.81x = 410,310.97 × 83,954.35
  4. Step 4: Simplify right side
    273,518.81x = 34,447,388,732.66
  5. Step 5: Solve for x
    x = 34,447,388,732.66/273,518.81
  6. Step 6: Final answer
    x = 125,941.57

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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.