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Finding the Fourth Proportional to 133,784.44, 200,676.44 and 73,810.02

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Solution

The fourth proportional to 133,784.44, 200,676.44 and 73,810.02 is: 110,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,784.44 : 200,676.44 = 73,810.02 : x
  2. Step 2: Convert to fraction form
    133,784.44/200,676.44 = 73,810.02/x
  3. Step 3: Cross multiply
    133,784.44x = 200,676.44 × 73,810.02
  4. Step 4: Simplify right side
    133,784.44x = 14,811,932,049.93
  5. Step 5: Solve for x
    x = 14,811,932,049.93/133,784.44
  6. Step 6: Final answer
    x = 110,714.91

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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.