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Finding the Fourth Proportional to 195,069, 292,603.62 and 47,325

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Solution

The fourth proportional to 195,069, 292,603.62 and 47,325 is: 70,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,069 : 292,603.62 = 47,325 : x
  2. Step 2: Convert to fraction form
    195,069/292,603.62 = 47,325/x
  3. Step 3: Cross multiply
    195,069x = 292,603.62 × 47,325
  4. Step 4: Simplify right side
    195,069x = 13,847,466,316.50
  5. Step 5: Solve for x
    x = 13,847,466,316.50/195,069
  6. Step 6: Final answer
    x = 70,987.53

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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.