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Finding the Fourth Proportional to 133,772.04, 200,676.54 and 77,638.59

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Solution

The fourth proportional to 133,772.04, 200,676.54 and 77,638.59 is: 116,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,772.04 : 200,676.54 = 77,638.59 : x
  2. Step 2: Convert to fraction form
    133,772.04/200,676.54 = 77,638.59/x
  3. Step 3: Cross multiply
    133,772.04x = 200,676.54 × 77,638.59
  4. Step 4: Simplify right side
    133,772.04x = 15,580,243,611.68
  5. Step 5: Solve for x
    x = 15,580,243,611.68/133,772.04
  6. Step 6: Final answer
    x = 116,468.61

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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.