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Finding the Fourth Proportional to 270,994.95, 406,169.51 and 111,064.43

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Solution

The fourth proportional to 270,994.95, 406,169.51 and 111,064.43 is: 166,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,994.95 : 406,169.51 = 111,064.43 : x
  2. Step 2: Convert to fraction form
    270,994.95/406,169.51 = 111,064.43/x
  3. Step 3: Cross multiply
    270,994.95x = 406,169.51 × 111,064.43
  4. Step 4: Simplify right side
    270,994.95x = 45,110,985,571.63
  5. Step 5: Solve for x
    x = 45,110,985,571.63/270,994.95
  6. Step 6: Final answer
    x = 166,464.30

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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.