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Finding the Fourth Proportional to 216,022.90, 324,034.35 and 202,198.90

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Solution

The fourth proportional to 216,022.90, 324,034.35 and 202,198.90 is: 303,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,022.90 : 324,034.35 = 202,198.90 : x
  2. Step 2: Convert to fraction form
    216,022.90/324,034.35 = 202,198.90/x
  3. Step 3: Cross multiply
    216,022.90x = 324,034.35 × 202,198.90
  4. Step 4: Simplify right side
    216,022.90x = 65,519,389,132.22
  5. Step 5: Solve for x
    x = 65,519,389,132.22/216,022.90
  6. Step 6: Final answer
    x = 303,298.35

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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.