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Finding the Fourth Proportional to 209,517.56, 289,140.76 and 118,877.34

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Solution

The fourth proportional to 209,517.56, 289,140.76 and 118,877.34 is: 164,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,517.56 : 289,140.76 = 118,877.34 : x
  2. Step 2: Convert to fraction form
    209,517.56/289,140.76 = 118,877.34/x
  3. Step 3: Cross multiply
    209,517.56x = 289,140.76 × 118,877.34
  4. Step 4: Simplify right side
    209,517.56x = 34,372,284,434.38
  5. Step 5: Solve for x
    x = 34,372,284,434.38/209,517.56
  6. Step 6: Final answer
    x = 164,054.43

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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.