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Finding the Fourth Proportional to 281,059.16, 421,589.46 and 114,847.16

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Solution

The fourth proportional to 281,059.16, 421,589.46 and 114,847.16 is: 172,271.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,059.16 : 421,589.46 = 114,847.16 : x
  2. Step 2: Convert to fraction form
    281,059.16/421,589.46 = 114,847.16/x
  3. Step 3: Cross multiply
    281,059.16x = 421,589.46 × 114,847.16
  4. Step 4: Simplify right side
    281,059.16x = 48,418,352,166.93
  5. Step 5: Solve for x
    x = 48,418,352,166.93/281,059.16
  6. Step 6: Final answer
    x = 172,271.03

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1.5x scale

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.