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Finding the Fourth Proportional to 209,856.89, 289,594.07 and 114,361.53

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Solution

The fourth proportional to 209,856.89, 289,594.07 and 114,361.53 is: 157,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.89 : 289,594.07 = 114,361.53 : x
  2. Step 2: Convert to fraction form
    209,856.89/289,594.07 = 114,361.53/x
  3. Step 3: Cross multiply
    209,856.89x = 289,594.07 × 114,361.53
  4. Step 4: Simplify right side
    209,856.89x = 33,118,420,924.13
  5. Step 5: Solve for x
    x = 33,118,420,924.13/209,856.89
  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.