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Finding the Fourth Proportional to 220,780, 304,676.44 and 120,178

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Solution

The fourth proportional to 220,780, 304,676.44 and 120,178 is: 165,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,780 : 304,676.44 = 120,178 : x
  2. Step 2: Convert to fraction form
    220,780/304,676.44 = 120,178/x
  3. Step 3: Cross multiply
    220,780x = 304,676.44 × 120,178
  4. Step 4: Simplify right side
    220,780x = 36,615,405,206.32
  5. Step 5: Solve for x
    x = 36,615,405,206.32/220,780
  6. Step 6: Final answer
    x = 165,845.66

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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.