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Finding the Fourth Proportional to 165,973.20, 248,959.80 and 164,496.98

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Solution

The fourth proportional to 165,973.20, 248,959.80 and 164,496.98 is: 246,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,973.20 : 248,959.80 = 164,496.98 : x
  2. Step 2: Convert to fraction form
    165,973.20/248,959.80 = 164,496.98/x
  3. Step 3: Cross multiply
    165,973.20x = 248,959.80 × 164,496.98
  4. Step 4: Simplify right side
    165,973.20x = 40,953,133,996.61
  5. Step 5: Solve for x
    x = 40,953,133,996.61/165,973.20
  6. Step 6: Final answer
    x = 246,745.46

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1.5x scale

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.