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Finding the Fourth Proportional to 194,970.92, 292,396.80 and 82,649

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Solution

The fourth proportional to 194,970.92, 292,396.80 and 82,649 is: 123,948.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,970.92 : 292,396.80 = 82,649 : x
  2. Step 2: Convert to fraction form
    194,970.92/292,396.80 = 82,649/x
  3. Step 3: Cross multiply
    194,970.92x = 292,396.80 × 82,649
  4. Step 4: Simplify right side
    194,970.92x = 24,166,303,123.20
  5. Step 5: Solve for x
    x = 24,166,303,123.20/194,970.92
  6. Step 6: Final answer
    x = 123,948.24

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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.