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Finding the Fourth Proportional to 209,564.80, 289,191.38 and 118,915.36

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Solution

The fourth proportional to 209,564.80, 289,191.38 and 118,915.36 is: 164,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,564.80 : 289,191.38 = 118,915.36 : x
  2. Step 2: Convert to fraction form
    209,564.80/289,191.38 = 118,915.36/x
  3. Step 3: Cross multiply
    209,564.80x = 289,191.38 × 118,915.36
  4. Step 4: Simplify right side
    209,564.80x = 34,389,295,744.04
  5. Step 5: Solve for x
    x = 34,389,295,744.04/209,564.80
  6. Step 6: Final answer
    x = 164,098.63

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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.