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Finding the Fourth Proportional to 216,101.68, 297,863.38 and 144,455.56

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Solution

The fourth proportional to 216,101.68, 297,863.38 and 144,455.56 is: 199,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,101.68 : 297,863.38 = 144,455.56 : x
  2. Step 2: Convert to fraction form
    216,101.68/297,863.38 = 144,455.56/x
  3. Step 3: Cross multiply
    216,101.68x = 297,863.38 × 144,455.56
  4. Step 4: Simplify right side
    216,101.68x = 43,028,021,361.39
  5. Step 5: Solve for x
    x = 43,028,021,361.39/216,101.68
  6. Step 6: Final answer
    x = 199,110.07

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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.