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Finding the Fourth Proportional to 224,059.90, 308,777.34 and 160,286.98

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Solution

The fourth proportional to 224,059.90, 308,777.34 and 160,286.98 is: 220,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,059.90 : 308,777.34 = 160,286.98 : x
  2. Step 2: Convert to fraction form
    224,059.90/308,777.34 = 160,286.98/x
  3. Step 3: Cross multiply
    224,059.90x = 308,777.34 × 160,286.98
  4. Step 4: Simplify right side
    224,059.90x = 49,492,987,321.03
  5. Step 5: Solve for x
    x = 49,492,987,321.03/224,059.90
  6. Step 6: Final answer
    x = 220,891.77

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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.