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Finding the Fourth Proportional to 133,651.40, 200,477.10 and 132,729.80

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Solution

The fourth proportional to 133,651.40, 200,477.10 and 132,729.80 is: 199,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,651.40 : 200,477.10 = 132,729.80 : x
  2. Step 2: Convert to fraction form
    133,651.40/200,477.10 = 132,729.80/x
  3. Step 3: Cross multiply
    133,651.40x = 200,477.10 × 132,729.80
  4. Step 4: Simplify right side
    133,651.40x = 26,609,285,387.58
  5. Step 5: Solve for x
    x = 26,609,285,387.58/133,651.40
  6. Step 6: Final answer
    x = 199,094.70

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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.