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Finding the Fourth Proportional to 190,427.14, 262,761.78 and 105,544

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Solution

The fourth proportional to 190,427.14, 262,761.78 and 105,544 is: 145,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,427.14 : 262,761.78 = 105,544 : x
  2. Step 2: Convert to fraction form
    190,427.14/262,761.78 = 105,544/x
  3. Step 3: Cross multiply
    190,427.14x = 262,761.78 × 105,544
  4. Step 4: Simplify right side
    190,427.14x = 27,732,929,308.32
  5. Step 5: Solve for x
    x = 27,732,929,308.32/190,427.14
  6. Step 6: Final answer
    x = 145,635.38

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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.