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Finding the Fourth Proportional to 209,560.59, 289,201.05 and 118,920.38

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Solution

The fourth proportional to 209,560.59, 289,201.05 and 118,920.38 is: 164,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,560.59 : 289,201.05 = 118,920.38 : x
  2. Step 2: Convert to fraction form
    209,560.59/289,201.05 = 118,920.38/x
  3. Step 3: Cross multiply
    209,560.59x = 289,201.05 × 118,920.38
  4. Step 4: Simplify right side
    209,560.59x = 34,391,897,316.39
  5. Step 5: Solve for x
    x = 34,391,897,316.39/209,560.59
  6. Step 6: Final answer
    x = 164,114.34

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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.