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Finding the Fourth Proportional to 209,208.56, 288,870.74 and 128,673.52

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Solution

The fourth proportional to 209,208.56, 288,870.74 and 128,673.52 is: 177,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,208.56 : 288,870.74 = 128,673.52 : x
  2. Step 2: Convert to fraction form
    209,208.56/288,870.74 = 128,673.52/x
  3. Step 3: Cross multiply
    209,208.56x = 288,870.74 × 128,673.52
  4. Step 4: Simplify right side
    209,208.56x = 37,170,014,940.80
  5. Step 5: Solve for x
    x = 37,170,014,940.80/209,208.56
  6. Step 6: Final answer
    x = 177,669.67

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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.