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Finding the Fourth Proportional to 189,763.92, 262,070.30 and 164,147.31

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Solution

The fourth proportional to 189,763.92, 262,070.30 and 164,147.31 is: 226,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,763.92 : 262,070.30 = 164,147.31 : x
  2. Step 2: Convert to fraction form
    189,763.92/262,070.30 = 164,147.31/x
  3. Step 3: Cross multiply
    189,763.92x = 262,070.30 × 164,147.31
  4. Step 4: Simplify right side
    189,763.92x = 43,018,135,186.26
  5. Step 5: Solve for x
    x = 43,018,135,186.26/189,763.92
  6. Step 6: Final answer
    x = 226,692.91

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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.