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Finding the Fourth Proportional to 165,700.60, 248,745.30 and 164,534.20

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Solution

The fourth proportional to 165,700.60, 248,745.30 and 164,534.20 is: 246,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,700.60 : 248,745.30 = 164,534.20 : x
  2. Step 2: Convert to fraction form
    165,700.60/248,745.30 = 164,534.20/x
  3. Step 3: Cross multiply
    165,700.60x = 248,745.30 × 164,534.20
  4. Step 4: Simplify right side
    165,700.60x = 40,927,108,939.26
  5. Step 5: Solve for x
    x = 40,927,108,939.26/165,700.60
  6. Step 6: Final answer
    x = 246,994.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.