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Finding the Fourth Proportional to 196,657.98, 271,411.32 and 111,787.80

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Solution

The fourth proportional to 196,657.98, 271,411.32 and 111,787.80 is: 154,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,657.98 : 271,411.32 = 111,787.80 : x
  2. Step 2: Convert to fraction form
    196,657.98/271,411.32 = 111,787.80/x
  3. Step 3: Cross multiply
    196,657.98x = 271,411.32 × 111,787.80
  4. Step 4: Simplify right side
    196,657.98x = 30,340,474,357.90
  5. Step 5: Solve for x
    x = 30,340,474,357.90/196,657.98
  6. Step 6: Final answer
    x = 154,280.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.