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Finding the Fourth Proportional to 274,419.15, 411,392.16 and 106,057.59

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Solution

The fourth proportional to 274,419.15, 411,392.16 and 106,057.59 is: 158,994.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,419.15 : 411,392.16 = 106,057.59 : x
  2. Step 2: Convert to fraction form
    274,419.15/411,392.16 = 106,057.59/x
  3. Step 3: Cross multiply
    274,419.15x = 411,392.16 × 106,057.59
  4. Step 4: Simplify right side
    274,419.15x = 43,631,261,034.49
  5. Step 5: Solve for x
    x = 43,631,261,034.49/274,419.15
  6. Step 6: Final answer
    x = 158,994.96

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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.