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Finding the Fourth Proportional to 202,216.20, 302,918.28 and 100,708.32

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Solution

The fourth proportional to 202,216.20, 302,918.28 and 100,708.32 is: 150,860.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,216.20 : 302,918.28 = 100,708.32 : x
  2. Step 2: Convert to fraction form
    202,216.20/302,918.28 = 100,708.32/x
  3. Step 3: Cross multiply
    202,216.20x = 302,918.28 × 100,708.32
  4. Step 4: Simplify right side
    202,216.20x = 30,506,391,076.09
  5. Step 5: Solve for x
    x = 30,506,391,076.09/202,216.20
  6. Step 6: Final answer
    x = 150,860.27

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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.