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Finding the Fourth Proportional to 195,183, 292,774.50 and 47,439

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Solution

The fourth proportional to 195,183, 292,774.50 and 47,439 is: 71,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,183 : 292,774.50 = 47,439 : x
  2. Step 2: Convert to fraction form
    195,183/292,774.50 = 47,439/x
  3. Step 3: Cross multiply
    195,183x = 292,774.50 × 47,439
  4. Step 4: Simplify right side
    195,183x = 13,888,929,505.50
  5. Step 5: Solve for x
    x = 13,888,929,505.50/195,183
  6. Step 6: Final answer
    x = 71,158.50

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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.