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Finding the Fourth Proportional to 201,714.10, 302,571.15 and 130,855.30

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Solution

The fourth proportional to 201,714.10, 302,571.15 and 130,855.30 is: 196,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.10 : 302,571.15 = 130,855.30 : x
  2. Step 2: Convert to fraction form
    201,714.10/302,571.15 = 130,855.30/x
  3. Step 3: Cross multiply
    201,714.10x = 302,571.15 × 130,855.30
  4. Step 4: Simplify right side
    201,714.10x = 39,593,038,604.60
  5. Step 5: Solve for x
    x = 39,593,038,604.60/201,714.10
  6. Step 6: Final answer
    x = 196,282.95

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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.