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Finding the Fourth Proportional to 219,786, 303,304.68 and 119,184.08

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Solution

The fourth proportional to 219,786, 303,304.68 and 119,184.08 is: 164,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,786 : 303,304.68 = 119,184.08 : x
  2. Step 2: Convert to fraction form
    219,786/303,304.68 = 119,184.08/x
  3. Step 3: Cross multiply
    219,786x = 303,304.68 × 119,184.08
  4. Step 4: Simplify right side
    219,786x = 36,149,089,245.49
  5. Step 5: Solve for x
    x = 36,149,089,245.49/219,786
  6. Step 6: Final answer
    x = 164,474.03

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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.