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Finding the Fourth Proportional to 201,648.60, 302,127.30 and 131,491.80

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Solution

The fourth proportional to 201,648.60, 302,127.30 and 131,491.80 is: 197,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,648.60 : 302,127.30 = 131,491.80 : x
  2. Step 2: Convert to fraction form
    201,648.60/302,127.30 = 131,491.80/x
  3. Step 3: Cross multiply
    201,648.60x = 302,127.30 × 131,491.80
  4. Step 4: Simplify right side
    201,648.60x = 39,727,262,506.14
  5. Step 5: Solve for x
    x = 39,727,262,506.14/201,648.60
  6. Step 6: Final answer
    x = 197,012.34

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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.