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Finding the Fourth Proportional to 101,944, 140,688.96 and 57,232

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Solution

The fourth proportional to 101,944, 140,688.96 and 57,232 is: 78,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,944 : 140,688.96 = 57,232 : x
  2. Step 2: Convert to fraction form
    101,944/140,688.96 = 57,232/x
  3. Step 3: Cross multiply
    101,944x = 140,688.96 × 57,232
  4. Step 4: Simplify right side
    101,944x = 8,051,910,558.72
  5. Step 5: Solve for x
    x = 8,051,910,558.72/101,944
  6. Step 6: Final answer
    x = 78,983.66

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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.