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Finding the Fourth Proportional to 201,808.20, 302,712.30 and 180,035.40

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Solution

The fourth proportional to 201,808.20, 302,712.30 and 180,035.40 is: 270,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808.20 : 302,712.30 = 180,035.40 : x
  2. Step 2: Convert to fraction form
    201,808.20/302,712.30 = 180,035.40/x
  3. Step 3: Cross multiply
    201,808.20x = 302,712.30 × 180,035.40
  4. Step 4: Simplify right side
    201,808.20x = 54,498,930,015.42
  5. Step 5: Solve for x
    x = 54,498,930,015.42/201,808.20
  6. Step 6: Final answer
    x = 270,053.10

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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.