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Finding the Fourth Proportional to 276,194.87, 414,292.71 and 84,070.97

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Solution

The fourth proportional to 276,194.87, 414,292.71 and 84,070.97 is: 126,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,194.87 : 414,292.71 = 84,070.97 : x
  2. Step 2: Convert to fraction form
    276,194.87/414,292.71 = 84,070.97/x
  3. Step 3: Cross multiply
    276,194.87x = 414,292.71 × 84,070.97
  4. Step 4: Simplify right side
    276,194.87x = 34,829,989,993.63
  5. Step 5: Solve for x
    x = 34,829,989,993.63/276,194.87
  6. Step 6: Final answer
    x = 126,106.58

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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.