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Finding the Fourth Proportional to 201,801.20, 302,701.80 and 54,057.20

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Solution

The fourth proportional to 201,801.20, 302,701.80 and 54,057.20 is: 81,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,801.20 : 302,701.80 = 54,057.20 : x
  2. Step 2: Convert to fraction form
    201,801.20/302,701.80 = 54,057.20/x
  3. Step 3: Cross multiply
    201,801.20x = 302,701.80 × 54,057.20
  4. Step 4: Simplify right side
    201,801.20x = 16,363,211,742.96
  5. Step 5: Solve for x
    x = 16,363,211,742.96/201,801.20
  6. Step 6: Final answer
    x = 81,085.80

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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.