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Finding the Fourth Proportional to 201,629.20, 302,443.80 and 141,494.80

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Solution

The fourth proportional to 201,629.20, 302,443.80 and 141,494.80 is: 212,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,629.20 : 302,443.80 = 141,494.80 : x
  2. Step 2: Convert to fraction form
    201,629.20/302,443.80 = 141,494.80/x
  3. Step 3: Cross multiply
    201,629.20x = 302,443.80 × 141,494.80
  4. Step 4: Simplify right side
    201,629.20x = 42,794,224,992.24
  5. Step 5: Solve for x
    x = 42,794,224,992.24/201,629.20
  6. Step 6: Final answer
    x = 212,242.20

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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.