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Finding the Fourth Proportional to 201,226.60, 301,839.90 and 180,231.40

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Solution

The fourth proportional to 201,226.60, 301,839.90 and 180,231.40 is: 270,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,226.60 : 301,839.90 = 180,231.40 : x
  2. Step 2: Convert to fraction form
    201,226.60/301,839.90 = 180,231.40/x
  3. Step 3: Cross multiply
    201,226.60x = 301,839.90 × 180,231.40
  4. Step 4: Simplify right side
    201,226.60x = 54,401,027,752.86
  5. Step 5: Solve for x
    x = 54,401,027,752.86/201,226.60
  6. Step 6: Final answer
    x = 270,347.10

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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.