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Finding the Fourth Proportional to 265,059.21, 397,586.94 and 107,285.39

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Solution

The fourth proportional to 265,059.21, 397,586.94 and 107,285.39 is: 160,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,059.21 : 397,586.94 = 107,285.39 : x
  2. Step 2: Convert to fraction form
    265,059.21/397,586.94 = 107,285.39/x
  3. Step 3: Cross multiply
    265,059.21x = 397,586.94 × 107,285.39
  4. Step 4: Simplify right side
    265,059.21x = 42,655,269,916.81
  5. Step 5: Solve for x
    x = 42,655,269,916.81/265,059.21
  6. Step 6: Final answer
    x = 160,927.33

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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.