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Finding the Fourth Proportional to 209,591.69, 315,799.70 and 172,971.99

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Solution

The fourth proportional to 209,591.69, 315,799.70 and 172,971.99 is: 260,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,591.69 : 315,799.70 = 172,971.99 : x
  2. Step 2: Convert to fraction form
    209,591.69/315,799.70 = 172,971.99/x
  3. Step 3: Cross multiply
    209,591.69x = 315,799.70 × 172,971.99
  4. Step 4: Simplify right side
    209,591.69x = 54,624,501,685.54
  5. Step 5: Solve for x
    x = 54,624,501,685.54/209,591.69
  6. Step 6: Final answer
    x = 260,623.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.