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Finding the Fourth Proportional to 197,006.72, 295,497.92 and 78,592.82

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Solution

The fourth proportional to 197,006.72, 295,497.92 and 78,592.82 is: 117,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,006.72 : 295,497.92 = 78,592.82 : x
  2. Step 2: Convert to fraction form
    197,006.72/295,497.92 = 78,592.82/x
  3. Step 3: Cross multiply
    197,006.72x = 295,497.92 × 78,592.82
  4. Step 4: Simplify right side
    197,006.72x = 23,224,014,836.93
  5. Step 5: Solve for x
    x = 23,224,014,836.93/197,006.72
  6. Step 6: Final answer
    x = 117,884.38

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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.