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Finding the Fourth Proportional to 194,799, 291,977.04 and 82,409.16

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Solution

The fourth proportional to 194,799, 291,977.04 and 82,409.16 is: 123,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,799 : 291,977.04 = 82,409.16 : x
  2. Step 2: Convert to fraction form
    194,799/291,977.04 = 82,409.16/x
  3. Step 3: Cross multiply
    194,799x = 291,977.04 × 82,409.16
  4. Step 4: Simplify right side
    194,799x = 24,061,582,605.69
  5. Step 5: Solve for x
    x = 24,061,582,605.69/194,799
  6. Step 6: Final answer
    x = 123,520.05

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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.