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Finding the Fourth Proportional to 220,375, 304,118.58 and 119,773

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Solution

The fourth proportional to 220,375, 304,118.58 and 119,773 is: 165,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,375 : 304,118.58 = 119,773 : x
  2. Step 2: Convert to fraction form
    220,375/304,118.58 = 119,773/x
  3. Step 3: Cross multiply
    220,375x = 304,118.58 × 119,773
  4. Step 4: Simplify right side
    220,375x = 36,425,194,682.34
  5. Step 5: Solve for x
    x = 36,425,194,682.34/220,375
  6. Step 6: Final answer
    x = 165,287.33

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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.