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Finding the Fourth Proportional to 201,748.40, 302,622.60 and 199,674.80

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Solution

The fourth proportional to 201,748.40, 302,622.60 and 199,674.80 is: 299,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,748.40 : 302,622.60 = 199,674.80 : x
  2. Step 2: Convert to fraction form
    201,748.40/302,622.60 = 199,674.80/x
  3. Step 3: Cross multiply
    201,748.40x = 302,622.60 × 199,674.80
  4. Step 4: Simplify right side
    201,748.40x = 60,426,107,130.48
  5. Step 5: Solve for x
    x = 60,426,107,130.48/201,748.40
  6. Step 6: Final answer
    x = 299,512.20

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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.