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Finding the Fourth Proportional to 277,720.87, 416,581.31 and 78,033.19

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Solution

The fourth proportional to 277,720.87, 416,581.31 and 78,033.19 is: 117,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,720.87 : 416,581.31 = 78,033.19 : x
  2. Step 2: Convert to fraction form
    277,720.87/416,581.31 = 78,033.19/x
  3. Step 3: Cross multiply
    277,720.87x = 416,581.31 × 78,033.19
  4. Step 4: Simplify right side
    277,720.87x = 32,507,168,513.68
  5. Step 5: Solve for x
    x = 32,507,168,513.68/277,720.87
  6. Step 6: Final answer
    x = 117,049.79

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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.