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Finding the Fourth Proportional to 203,441.84, 304,959.96 and 96,638.48

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Solution

The fourth proportional to 203,441.84, 304,959.96 and 96,638.48 is: 144,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,441.84 : 304,959.96 = 96,638.48 : x
  2. Step 2: Convert to fraction form
    203,441.84/304,959.96 = 96,638.48/x
  3. Step 3: Cross multiply
    203,441.84x = 304,959.96 × 96,638.48
  4. Step 4: Simplify right side
    203,441.84x = 29,470,866,995.26
  5. Step 5: Solve for x
    x = 29,470,866,995.26/203,441.84
  6. Step 6: Final answer
    x = 144,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.