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Finding the Fourth Proportional to 168,082.50, 231,953.85 and 101,014.50

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Solution

The fourth proportional to 168,082.50, 231,953.85 and 101,014.50 is: 139,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,082.50 : 231,953.85 = 101,014.50 : x
  2. Step 2: Convert to fraction form
    168,082.50/231,953.85 = 101,014.50/x
  3. Step 3: Cross multiply
    168,082.50x = 231,953.85 × 101,014.50
  4. Step 4: Simplify right side
    168,082.50x = 23,430,702,180.83
  5. Step 5: Solve for x
    x = 23,430,702,180.83/168,082.50
  6. Step 6: Final answer
    x = 139,400.01

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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.