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Finding the Fourth Proportional to 209,803.56, 289,532.22 and 114,310.24

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Solution

The fourth proportional to 209,803.56, 289,532.22 and 114,310.24 is: 157,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,803.56 : 289,532.22 = 114,310.24 : x
  2. Step 2: Convert to fraction form
    209,803.56/289,532.22 = 114,310.24/x
  3. Step 3: Cross multiply
    209,803.56x = 289,532.22 × 114,310.24
  4. Step 4: Simplify right side
    209,803.56x = 33,096,497,555.93
  5. Step 5: Solve for x
    x = 33,096,497,555.93/209,803.56
  6. Step 6: Final answer
    x = 157,749.93

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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.