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Finding the Fourth Proportional to 273,743.70, 410,542.65 and 84,203.70

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Solution

The fourth proportional to 273,743.70, 410,542.65 and 84,203.70 is: 126,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,743.70 : 410,542.65 = 84,203.70 : x
  2. Step 2: Convert to fraction form
    273,743.70/410,542.65 = 84,203.70/x
  3. Step 3: Cross multiply
    273,743.70x = 410,542.65 × 84,203.70
  4. Step 4: Simplify right side
    273,743.70x = 34,569,210,137.81
  5. Step 5: Solve for x
    x = 34,569,210,137.81/273,743.70
  6. Step 6: Final answer
    x = 126,283.13

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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.