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Finding the Fourth Proportional to 164,259.36, 226,664.33 and 92,656.98

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Solution

The fourth proportional to 164,259.36, 226,664.33 and 92,656.98 is: 127,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,259.36 : 226,664.33 = 92,656.98 : x
  2. Step 2: Convert to fraction form
    164,259.36/226,664.33 = 92,656.98/x
  3. Step 3: Cross multiply
    164,259.36x = 226,664.33 × 92,656.98
  4. Step 4: Simplify right side
    164,259.36x = 21,002,031,828.24
  5. Step 5: Solve for x
    x = 21,002,031,828.24/164,259.36
  6. Step 6: Final answer
    x = 127,858.97

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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.