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Finding the Fourth Proportional to 270,851.64, 406,165.14 and 102,342.84

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Solution

The fourth proportional to 270,851.64, 406,165.14 and 102,342.84 is: 153,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,851.64 : 406,165.14 = 102,342.84 : x
  2. Step 2: Convert to fraction form
    270,851.64/406,165.14 = 102,342.84/x
  3. Step 3: Cross multiply
    270,851.64x = 406,165.14 × 102,342.84
  4. Step 4: Simplify right side
    270,851.64x = 41,568,093,936.60
  5. Step 5: Solve for x
    x = 41,568,093,936.60/270,851.64
  6. Step 6: Final answer
    x = 153,471.82

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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.