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Finding the Fourth Proportional to 138,228.98, 190,489.65 and 100,443.38

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Solution

The fourth proportional to 138,228.98, 190,489.65 and 100,443.38 is: 138,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,228.98 : 190,489.65 = 100,443.38 : x
  2. Step 2: Convert to fraction form
    138,228.98/190,489.65 = 100,443.38/x
  3. Step 3: Cross multiply
    138,228.98x = 190,489.65 × 100,443.38
  4. Step 4: Simplify right side
    138,228.98x = 19,133,424,301.02
  5. Step 5: Solve for x
    x = 19,133,424,301.02/138,228.98
  6. Step 6: Final answer
    x = 138,418.33

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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.