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Finding the Fourth Proportional to 138,288, 190,860.48 and 104,695.68

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Solution

The fourth proportional to 138,288, 190,860.48 and 104,695.68 is: 144,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,288 : 190,860.48 = 104,695.68 : x
  2. Step 2: Convert to fraction form
    138,288/190,860.48 = 104,695.68/x
  3. Step 3: Cross multiply
    138,288x = 190,860.48 × 104,695.68
  4. Step 4: Simplify right side
    138,288x = 19,982,267,738.73
  5. Step 5: Solve for x
    x = 19,982,267,738.73/138,288
  6. Step 6: Final answer
    x = 144,497.48

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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.