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Finding the Fourth Proportional to 219,766.64, 303,279.80 and 119,164.64

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Solution

The fourth proportional to 219,766.64, 303,279.80 and 119,164.64 is: 164,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,766.64 : 303,279.80 = 119,164.64 : x
  2. Step 2: Convert to fraction form
    219,766.64/303,279.80 = 119,164.64/x
  3. Step 3: Cross multiply
    219,766.64x = 303,279.80 × 119,164.64
  4. Step 4: Simplify right side
    219,766.64x = 36,140,226,074.05
  5. Step 5: Solve for x
    x = 36,140,226,074.05/219,766.64
  6. Step 6: Final answer
    x = 164,448.19

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Why These Related Problems?

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