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Finding the Fourth Proportional to 274,419.40, 411,392.54 and 106,057.84

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Solution

The fourth proportional to 274,419.40, 411,392.54 and 106,057.84 is: 158,995.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,419.40 : 411,392.54 = 106,057.84 : x
  2. Step 2: Convert to fraction form
    274,419.40/411,392.54 = 106,057.84/x
  3. Step 3: Cross multiply
    274,419.40x = 411,392.54 × 106,057.84
  4. Step 4: Simplify right side
    274,419.40x = 43,631,403,654.22
  5. Step 5: Solve for x
    x = 43,631,403,654.22/274,419.40
  6. Step 6: Final answer
    x = 158,995.33

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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.