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Finding the Fourth Proportional to 209,856.90, 289,594.06 and 114,361.54

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Solution

The fourth proportional to 209,856.90, 289,594.06 and 114,361.54 is: 157,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.90 : 289,594.06 = 114,361.54 : x
  2. Step 2: Convert to fraction form
    209,856.90/289,594.06 = 114,361.54/x
  3. Step 3: Cross multiply
    209,856.90x = 289,594.06 × 114,361.54
  4. Step 4: Simplify right side
    209,856.90x = 33,118,422,676.45
  5. Step 5: Solve for x
    x = 33,118,422,676.45/209,856.90
  6. Step 6: Final answer
    x = 157,814.31

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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.