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Finding the Fourth Proportional to 201,794.80, 302,709.60 and 52,033.76

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Solution

The fourth proportional to 201,794.80, 302,709.60 and 52,033.76 is: 78,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794.80 : 302,709.60 = 52,033.76 : x
  2. Step 2: Convert to fraction form
    201,794.80/302,709.60 = 52,033.76/x
  3. Step 3: Cross multiply
    201,794.80x = 302,709.60 × 52,033.76
  4. Step 4: Simplify right side
    201,794.80x = 15,751,118,676.10
  5. Step 5: Solve for x
    x = 15,751,118,676.10/201,794.80
  6. Step 6: Final answer
    x = 78,055.13

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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.