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Finding the Fourth Proportional to 164,309.90, 226,745.91 and 92,713.22

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Solution

The fourth proportional to 164,309.90, 226,745.91 and 92,713.22 is: 127,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,309.90 : 226,745.91 = 92,713.22 : x
  2. Step 2: Convert to fraction form
    164,309.90/226,745.91 = 92,713.22/x
  3. Step 3: Cross multiply
    164,309.90x = 226,745.91 × 92,713.22
  4. Step 4: Simplify right side
    164,309.90x = 21,022,342,304.20
  5. Step 5: Solve for x
    x = 21,022,342,304.20/164,309.90
  6. Step 6: Final answer
    x = 127,943.25

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1.5x scale

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.