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Finding the Fourth Proportional to 209,804.56, 289,533.60 and 114,311.22

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Solution

The fourth proportional to 209,804.56, 289,533.60 and 114,311.22 is: 157,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,804.56 : 289,533.60 = 114,311.22 : x
  2. Step 2: Convert to fraction form
    209,804.56/289,533.60 = 114,311.22/x
  3. Step 3: Cross multiply
    209,804.56x = 289,533.60 × 114,311.22
  4. Step 4: Simplify right side
    209,804.56x = 33,096,939,046.99
  5. Step 5: Solve for x
    x = 33,096,939,046.99/209,804.56
  6. Step 6: Final answer
    x = 157,751.29

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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.