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Finding the Fourth Proportional to 110,268, 152,169.84 and 65,556

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Solution

The fourth proportional to 110,268, 152,169.84 and 65,556 is: 90,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,268 : 152,169.84 = 65,556 : x
  2. Step 2: Convert to fraction form
    110,268/152,169.84 = 65,556/x
  3. Step 3: Cross multiply
    110,268x = 152,169.84 × 65,556
  4. Step 4: Simplify right side
    110,268x = 9,975,646,031.04
  5. Step 5: Solve for x
    x = 9,975,646,031.04/110,268
  6. Step 6: Final answer
    x = 90,467.28

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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.