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Finding the Fourth Proportional to 201,228.20, 301,842.30 and 53,484.20

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Solution

The fourth proportional to 201,228.20, 301,842.30 and 53,484.20 is: 80,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,228.20 : 301,842.30 = 53,484.20 : x
  2. Step 2: Convert to fraction form
    201,228.20/301,842.30 = 53,484.20/x
  3. Step 3: Cross multiply
    201,228.20x = 301,842.30 × 53,484.20
  4. Step 4: Simplify right side
    201,228.20x = 16,143,793,941.66
  5. Step 5: Solve for x
    x = 16,143,793,941.66/201,228.20
  6. Step 6: Final answer
    x = 80,226.30

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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.