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Finding the Fourth Proportional to 200,394.42, 276,527.97 and 114,352.98

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Solution

The fourth proportional to 200,394.42, 276,527.97 and 114,352.98 is: 157,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,394.42 : 276,527.97 = 114,352.98 : x
  2. Step 2: Convert to fraction form
    200,394.42/276,527.97 = 114,352.98/x
  3. Step 3: Cross multiply
    200,394.42x = 276,527.97 × 114,352.98
  4. Step 4: Simplify right side
    200,394.42x = 31,621,797,422.85
  5. Step 5: Solve for x
    x = 31,621,797,422.85/200,394.42
  6. Step 6: Final answer
    x = 157,797.79

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1.5x scale

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.