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Finding the Fourth Proportional to 216,415.34, 298,651.54 and 119,625.56

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Solution

The fourth proportional to 216,415.34, 298,651.54 and 119,625.56 is: 165,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,415.34 : 298,651.54 = 119,625.56 : x
  2. Step 2: Convert to fraction form
    216,415.34/298,651.54 = 119,625.56/x
  3. Step 3: Cross multiply
    216,415.34x = 298,651.54 × 119,625.56
  4. Step 4: Simplify right side
    216,415.34x = 35,726,356,373.64
  5. Step 5: Solve for x
    x = 35,726,356,373.64/216,415.34
  6. Step 6: Final answer
    x = 165,082.37

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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.