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Finding the Fourth Proportional to 194,411.40, 291,617.10 and 180,414.60

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Solution

The fourth proportional to 194,411.40, 291,617.10 and 180,414.60 is: 270,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,411.40 : 291,617.10 = 180,414.60 : x
  2. Step 2: Convert to fraction form
    194,411.40/291,617.10 = 180,414.60/x
  3. Step 3: Cross multiply
    194,411.40x = 291,617.10 × 180,414.60
  4. Step 4: Simplify right side
    194,411.40x = 52,611,982,449.66
  5. Step 5: Solve for x
    x = 52,611,982,449.66/194,411.40
  6. Step 6: Final answer
    x = 270,621.90

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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.