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Finding the Fourth Proportional to 137,662.81, 190,041.42 and 92,324.21

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Solution

The fourth proportional to 137,662.81, 190,041.42 and 92,324.21 is: 127,452.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,662.81 : 190,041.42 = 92,324.21 : x
  2. Step 2: Convert to fraction form
    137,662.81/190,041.42 = 92,324.21/x
  3. Step 3: Cross multiply
    137,662.81x = 190,041.42 × 92,324.21
  4. Step 4: Simplify right side
    137,662.81x = 17,545,422,556.95
  5. Step 5: Solve for x
    x = 17,545,422,556.95/137,662.81
  6. Step 6: Final answer
    x = 127,452.17

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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.