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Finding the Fourth Proportional to 216,824.99, 299,204.01 and 120,022.29

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Solution

The fourth proportional to 216,824.99, 299,204.01 and 120,022.29 is: 165,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,824.99 : 299,204.01 = 120,022.29 : x
  2. Step 2: Convert to fraction form
    216,824.99/299,204.01 = 120,022.29/x
  3. Step 3: Cross multiply
    216,824.99x = 299,204.01 × 120,022.29
  4. Step 4: Simplify right side
    216,824.99x = 35,911,150,457.38
  5. Step 5: Solve for x
    x = 35,911,150,457.38/216,824.99
  6. Step 6: Final answer
    x = 165,622.75

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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.