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Finding the Fourth Proportional to 220,985.36, 304,959.24 and 120,383.12

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Solution

The fourth proportional to 220,985.36, 304,959.24 and 120,383.12 is: 166,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,985.36 : 304,959.24 = 120,383.12 : x
  2. Step 2: Convert to fraction form
    220,985.36/304,959.24 = 120,383.12/x
  3. Step 3: Cross multiply
    220,985.36x = 304,959.24 × 120,383.12
  4. Step 4: Simplify right side
    220,985.36x = 36,711,944,784.03
  5. Step 5: Solve for x
    x = 36,711,944,784.03/220,985.36
  6. Step 6: Final answer
    x = 166,128.40

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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.