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Finding the Fourth Proportional to 194,971.92, 292,398.30 and 82,650

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Solution

The fourth proportional to 194,971.92, 292,398.30 and 82,650 is: 123,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,971.92 : 292,398.30 = 82,650 : x
  2. Step 2: Convert to fraction form
    194,971.92/292,398.30 = 82,650/x
  3. Step 3: Cross multiply
    194,971.92x = 292,398.30 × 82,650
  4. Step 4: Simplify right side
    194,971.92x = 24,166,719,495
  5. Step 5: Solve for x
    x = 24,166,719,495/194,971.92
  6. Step 6: Final answer
    x = 123,949.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.