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Finding the Fourth Proportional to 164,344.48, 226,782.48 and 92,741.92

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Solution

The fourth proportional to 164,344.48, 226,782.48 and 92,741.92 is: 127,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,344.48 : 226,782.48 = 92,741.92 : x
  2. Step 2: Convert to fraction form
    164,344.48/226,782.48 = 92,741.92/x
  3. Step 3: Cross multiply
    164,344.48x = 226,782.48 × 92,741.92
  4. Step 4: Simplify right side
    164,344.48x = 21,032,242,617.56
  5. Step 5: Solve for x
    x = 21,032,242,617.56/164,344.48
  6. Step 6: Final answer
    x = 127,976.57

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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.