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Finding the Fourth Proportional to 209,764.76, 289,477.35 and 119,122.61

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Solution

The fourth proportional to 209,764.76, 289,477.35 and 119,122.61 is: 164,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,764.76 : 289,477.35 = 119,122.61 : x
  2. Step 2: Convert to fraction form
    209,764.76/289,477.35 = 119,122.61/x
  3. Step 3: Cross multiply
    209,764.76x = 289,477.35 × 119,122.61
  4. Step 4: Simplify right side
    209,764.76x = 34,483,296,020.50
  5. Step 5: Solve for x
    x = 34,483,296,020.50/209,764.76
  6. Step 6: Final answer
    x = 164,390.32

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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.