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Finding the Fourth Proportional to 164,484.96, 226,993.32 and 92,866.02

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Solution

The fourth proportional to 164,484.96, 226,993.32 and 92,866.02 is: 128,157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484.96 : 226,993.32 = 92,866.02 : x
  2. Step 2: Convert to fraction form
    164,484.96/226,993.32 = 92,866.02/x
  3. Step 3: Cross multiply
    164,484.96x = 226,993.32 × 92,866.02
  4. Step 4: Simplify right side
    164,484.96x = 21,079,966,194.99
  5. Step 5: Solve for x
    x = 21,079,966,194.99/164,484.96
  6. Step 6: Final answer
    x = 128,157.41

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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.