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Finding the Fourth Proportional to 213,940.74, 295,165.68 and 123,293.85

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Solution

The fourth proportional to 213,940.74, 295,165.68 and 123,293.85 is: 170,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,940.74 : 295,165.68 = 123,293.85 : x
  2. Step 2: Convert to fraction form
    213,940.74/295,165.68 = 123,293.85/x
  3. Step 3: Cross multiply
    213,940.74x = 295,165.68 × 123,293.85
  4. Step 4: Simplify right side
    213,940.74x = 36,392,113,075.07
  5. Step 5: Solve for x
    x = 36,392,113,075.07/213,940.74
  6. Step 6: Final answer
    x = 170,103.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.