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Finding the Fourth Proportional to 165,213.60, 248,014.80 and 164,047.20

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Solution

The fourth proportional to 165,213.60, 248,014.80 and 164,047.20 is: 246,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,213.60 : 248,014.80 = 164,047.20 : x
  2. Step 2: Convert to fraction form
    165,213.60/248,014.80 = 164,047.20/x
  3. Step 3: Cross multiply
    165,213.60x = 248,014.80 × 164,047.20
  4. Step 4: Simplify right side
    165,213.60x = 40,686,133,498.56
  5. Step 5: Solve for x
    x = 40,686,133,498.56/165,213.60
  6. Step 6: Final answer
    x = 246,263.83

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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.