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Finding the Fourth Proportional to 209,854.89, 289,591.31 and 114,359.53

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Solution

The fourth proportional to 209,854.89, 289,591.31 and 114,359.53 is: 157,811.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,854.89 : 289,591.31 = 114,359.53 : x
  2. Step 2: Convert to fraction form
    209,854.89/289,591.31 = 114,359.53/x
  3. Step 3: Cross multiply
    209,854.89x = 289,591.31 × 114,359.53
  4. Step 4: Simplify right side
    209,854.89x = 33,117,526,103.68
  5. Step 5: Solve for x
    x = 33,117,526,103.68/209,854.89
  6. Step 6: Final answer
    x = 157,811.55

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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.