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Finding the Fourth Proportional to 265,291.57, 397,952.94 and 75,737.37

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Solution

The fourth proportional to 265,291.57, 397,952.94 and 75,737.37 is: 113,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,291.57 : 397,952.94 = 75,737.37 : x
  2. Step 2: Convert to fraction form
    265,291.57/397,952.94 = 75,737.37/x
  3. Step 3: Cross multiply
    265,291.57x = 397,952.94 × 75,737.37
  4. Step 4: Simplify right side
    265,291.57x = 30,139,909,059.37
  5. Step 5: Solve for x
    x = 30,139,909,059.37/265,291.57
  6. Step 6: Final answer
    x = 113,610.50

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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.