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Finding the Fourth Proportional to 201,794.60, 302,546.10 and 113,075.30

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Solution

The fourth proportional to 201,794.60, 302,546.10 and 113,075.30 is: 169,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,794.60 : 302,546.10 = 113,075.30 : x
  2. Step 2: Convert to fraction form
    201,794.60/302,546.10 = 113,075.30/x
  3. Step 3: Cross multiply
    201,794.60x = 302,546.10 × 113,075.30
  4. Step 4: Simplify right side
    201,794.60x = 34,210,491,021.33
  5. Step 5: Solve for x
    x = 34,210,491,021.33/201,794.60
  6. Step 6: Final answer
    x = 169,531.25

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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.