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Finding the Fourth Proportional to 165,672.80, 248,509.20 and 54,864.80

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Solution

The fourth proportional to 165,672.80, 248,509.20 and 54,864.80 is: 82,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,672.80 : 248,509.20 = 54,864.80 : x
  2. Step 2: Convert to fraction form
    165,672.80/248,509.20 = 54,864.80/x
  3. Step 3: Cross multiply
    165,672.80x = 248,509.20 × 54,864.80
  4. Step 4: Simplify right side
    165,672.80x = 13,634,407,556.16
  5. Step 5: Solve for x
    x = 13,634,407,556.16/165,672.80
  6. Step 6: Final answer
    x = 82,297.20

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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.