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Finding the Fourth Proportional to 254,371.10, 381,610.62 and 96,596.06

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Solution

The fourth proportional to 254,371.10, 381,610.62 and 96,596.06 is: 144,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,371.10 : 381,610.62 = 96,596.06 : x
  2. Step 2: Convert to fraction form
    254,371.10/381,610.62 = 96,596.06/x
  3. Step 3: Cross multiply
    254,371.10x = 381,610.62 × 96,596.06
  4. Step 4: Simplify right side
    254,371.10x = 36,862,082,346.16
  5. Step 5: Solve for x
    x = 36,862,082,346.16/254,371.10
  6. Step 6: Final answer
    x = 144,914.58

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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.