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Finding the Fourth Proportional to 201,282.30, 301,923.26 and 51,522.35

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Solution

The fourth proportional to 201,282.30, 301,923.26 and 51,522.35 is: 77,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282.30 : 301,923.26 = 51,522.35 : x
  2. Step 2: Convert to fraction form
    201,282.30/301,923.26 = 51,522.35/x
  3. Step 3: Cross multiply
    201,282.30x = 301,923.26 × 51,522.35
  4. Step 4: Simplify right side
    201,282.30x = 15,555,794,107.63
  5. Step 5: Solve for x
    x = 15,555,794,107.63/201,282.30
  6. Step 6: Final answer
    x = 77,283.47

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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.