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Finding the Fourth Proportional to 202,021, 278,797.64 and 112,597

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Solution

The fourth proportional to 202,021, 278,797.64 and 112,597 is: 155,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,021 : 278,797.64 = 112,597 : x
  2. Step 2: Convert to fraction form
    202,021/278,797.64 = 112,597/x
  3. Step 3: Cross multiply
    202,021x = 278,797.64 × 112,597
  4. Step 4: Simplify right side
    202,021x = 31,391,777,871.08
  5. Step 5: Solve for x
    x = 31,391,777,871.08/202,021
  6. Step 6: Final answer
    x = 155,388.69

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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.