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Finding the Fourth Proportional to 209,751.37, 289,461.36 and 114,257.86

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Solution

The fourth proportional to 209,751.37, 289,461.36 and 114,257.86 is: 157,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,751.37 : 289,461.36 = 114,257.86 : x
  2. Step 2: Convert to fraction form
    209,751.37/289,461.36 = 114,257.86/x
  3. Step 3: Cross multiply
    209,751.37x = 289,461.36 × 114,257.86
  4. Step 4: Simplify right side
    209,751.37x = 33,073,235,546.29
  5. Step 5: Solve for x
    x = 33,073,235,546.29/209,751.37
  6. Step 6: Final answer
    x = 157,678.28

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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.