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Finding the Fourth Proportional to 100,216.48, 150,194.16 and 55,841.44

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Solution

The fourth proportional to 100,216.48, 150,194.16 and 55,841.44 is: 83,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,216.48 : 150,194.16 = 55,841.44 : x
  2. Step 2: Convert to fraction form
    100,216.48/150,194.16 = 55,841.44/x
  3. Step 3: Cross multiply
    100,216.48x = 150,194.16 × 55,841.44
  4. Step 4: Simplify right side
    100,216.48x = 8,387,058,173.99
  5. Step 5: Solve for x
    x = 8,387,058,173.99/100,216.48
  6. Step 6: Final answer
    x = 83,689.41

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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.