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Finding the Fourth Proportional to 164,298.68, 226,726.60 and 92,676

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Solution

The fourth proportional to 164,298.68, 226,726.60 and 92,676 is: 127,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,298.68 : 226,726.60 = 92,676 : x
  2. Step 2: Convert to fraction form
    164,298.68/226,726.60 = 92,676/x
  3. Step 3: Cross multiply
    164,298.68x = 226,726.60 × 92,676
  4. Step 4: Simplify right side
    164,298.68x = 21,012,114,381.60
  5. Step 5: Solve for x
    x = 21,012,114,381.60/164,298.68
  6. Step 6: Final answer
    x = 127,889.73

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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.