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Finding the Fourth Proportional to 101,650.22, 140,347.32 and 77,735.24

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Solution

The fourth proportional to 101,650.22, 140,347.32 and 77,735.24 is: 107,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,650.22 : 140,347.32 = 77,735.24 : x
  2. Step 2: Convert to fraction form
    101,650.22/140,347.32 = 77,735.24/x
  3. Step 3: Cross multiply
    101,650.22x = 140,347.32 × 77,735.24
  4. Step 4: Simplify right side
    101,650.22x = 10,909,932,603.56
  5. Step 5: Solve for x
    x = 10,909,932,603.56/101,650.22
  6. Step 6: Final answer
    x = 107,328.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.