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Finding the Fourth Proportional to 133,818.97, 200,664.90 and 77,676.41

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Solution

The fourth proportional to 133,818.97, 200,664.90 and 77,676.41 is: 116,477.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818.97 : 200,664.90 = 77,676.41 : x
  2. Step 2: Convert to fraction form
    133,818.97/200,664.90 = 77,676.41/x
  3. Step 3: Cross multiply
    133,818.97x = 200,664.90 × 77,676.41
  4. Step 4: Simplify right side
    133,818.97x = 15,586,929,045.01
  5. Step 5: Solve for x
    x = 15,586,929,045.01/133,818.97
  6. Step 6: Final answer
    x = 116,477.72

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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.