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Finding the Fourth Proportional to 194,801, 291,980.04 and 82,411.16

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Solution

The fourth proportional to 194,801, 291,980.04 and 82,411.16 is: 123,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,801 : 291,980.04 = 82,411.16 : x
  2. Step 2: Convert to fraction form
    194,801/291,980.04 = 82,411.16/x
  3. Step 3: Cross multiply
    194,801x = 291,980.04 × 82,411.16
  4. Step 4: Simplify right side
    194,801x = 24,062,413,793.25
  5. Step 5: Solve for x
    x = 24,062,413,793.25/194,801
  6. Step 6: Final answer
    x = 123,523.05

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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.