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Finding the Fourth Proportional to 256,163.77, 353,511.62 and 141,442.10

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Solution

The fourth proportional to 256,163.77, 353,511.62 and 141,442.10 is: 195,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,163.77 : 353,511.62 = 141,442.10 : x
  2. Step 2: Convert to fraction form
    256,163.77/353,511.62 = 141,442.10/x
  3. Step 3: Cross multiply
    256,163.77x = 353,511.62 × 141,442.10
  4. Step 4: Simplify right side
    256,163.77x = 50,001,424,890.70
  5. Step 5: Solve for x
    x = 50,001,424,890.70/256,163.77
  6. Step 6: Final answer
    x = 195,193.20

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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.