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Finding the Fourth Proportional to 195,072, 292,608.12 and 47,328

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Solution

The fourth proportional to 195,072, 292,608.12 and 47,328 is: 70,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,072 : 292,608.12 = 47,328 : x
  2. Step 2: Convert to fraction form
    195,072/292,608.12 = 47,328/x
  3. Step 3: Cross multiply
    195,072x = 292,608.12 × 47,328
  4. Step 4: Simplify right side
    195,072x = 13,848,557,103.36
  5. Step 5: Solve for x
    x = 13,848,557,103.36/195,072
  6. Step 6: Final answer
    x = 70,992.03

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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.