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Finding the Fourth Proportional to 209,106.96, 288,573.48 and 123,072

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Solution

The fourth proportional to 209,106.96, 288,573.48 and 123,072 is: 169,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,106.96 : 288,573.48 = 123,072 : x
  2. Step 2: Convert to fraction form
    209,106.96/288,573.48 = 123,072/x
  3. Step 3: Cross multiply
    209,106.96x = 288,573.48 × 123,072
  4. Step 4: Simplify right side
    209,106.96x = 35,515,315,330.56
  5. Step 5: Solve for x
    x = 35,515,315,330.56/209,106.96
  6. Step 6: Final answer
    x = 169,842.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.