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Finding the Fourth Proportional to 201,709.20, 302,563.80 and 188,587.20

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Solution

The fourth proportional to 201,709.20, 302,563.80 and 188,587.20 is: 282,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,709.20 : 302,563.80 = 188,587.20 : x
  2. Step 2: Convert to fraction form
    201,709.20/302,563.80 = 188,587.20/x
  3. Step 3: Cross multiply
    201,709.20x = 302,563.80 × 188,587.20
  4. Step 4: Simplify right side
    201,709.20x = 57,059,659,863.36
  5. Step 5: Solve for x
    x = 57,059,659,863.36/201,709.20
  6. Step 6: Final answer
    x = 282,880.80

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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.