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Finding the Fourth Proportional to 216,816.30, 299,198.97 and 120,024.36

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Solution

The fourth proportional to 216,816.30, 299,198.97 and 120,024.36 is: 165,629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,816.30 : 299,198.97 = 120,024.36 : x
  2. Step 2: Convert to fraction form
    216,816.30/299,198.97 = 120,024.36/x
  3. Step 3: Cross multiply
    216,816.30x = 299,198.97 × 120,024.36
  4. Step 4: Simplify right side
    216,816.30x = 35,911,164,886.91
  5. Step 5: Solve for x
    x = 35,911,164,886.91/216,816.30
  6. Step 6: Final answer
    x = 165,629.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.