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Finding the Fourth Proportional to 209,977.32, 289,758.18 and 119,321.32

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Solution

The fourth proportional to 209,977.32, 289,758.18 and 119,321.32 is: 164,657.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,977.32 : 289,758.18 = 119,321.32 : x
  2. Step 2: Convert to fraction form
    209,977.32/289,758.18 = 119,321.32/x
  3. Step 3: Cross multiply
    209,977.32x = 289,758.18 × 119,321.32
  4. Step 4: Simplify right side
    209,977.32x = 34,574,328,518.40
  5. Step 5: Solve for x
    x = 34,574,328,518.40/209,977.32
  6. Step 6: Final answer
    x = 164,657.44

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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.