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Finding the Fourth Proportional to 201,228.70, 301,843.05 and 53,484.70

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Solution

The fourth proportional to 201,228.70, 301,843.05 and 53,484.70 is: 80,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228.70 : 301,843.05 = 53,484.70 : x
  2. Step 2: Convert to fraction form
    201,228.70/301,843.05 = 53,484.70/x
  3. Step 3: Cross multiply
    201,228.70x = 301,843.05 × 53,484.70
  4. Step 4: Simplify right side
    201,228.70x = 16,143,984,976.34
  5. Step 5: Solve for x
    x = 16,143,984,976.34/201,228.70
  6. Step 6: Final answer
    x = 80,227.05

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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.