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Finding the Fourth Proportional to 202,292, 303,031.44 and 100,784.04

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Solution

The fourth proportional to 202,292, 303,031.44 and 100,784.04 is: 150,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,292 : 303,031.44 = 100,784.04 : x
  2. Step 2: Convert to fraction form
    202,292/303,031.44 = 100,784.04/x
  3. Step 3: Cross multiply
    202,292x = 303,031.44 × 100,784.04
  4. Step 4: Simplify right side
    202,292x = 30,540,732,770.22
  5. Step 5: Solve for x
    x = 30,540,732,770.22/202,292
  6. Step 6: Final answer
    x = 150,973.51

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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.