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Finding the Fourth Proportional to 281,313.88, 388,213.50 and 153,997.48

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Solution

The fourth proportional to 281,313.88, 388,213.50 and 153,997.48 is: 212,516.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,313.88 : 388,213.50 = 153,997.48 : x
  2. Step 2: Convert to fraction form
    281,313.88/388,213.50 = 153,997.48/x
  3. Step 3: Cross multiply
    281,313.88x = 388,213.50 × 153,997.48
  4. Step 4: Simplify right side
    281,313.88x = 59,783,900,701.98
  5. Step 5: Solve for x
    x = 59,783,900,701.98/281,313.88
  6. Step 6: Final answer
    x = 212,516.71

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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.