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Finding the Fourth Proportional to 204,447.53, 282,048.94 and 144,008.57

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Solution

The fourth proportional to 204,447.53, 282,048.94 and 144,008.57 is: 198,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,447.53 : 282,048.94 = 144,008.57 : x
  2. Step 2: Convert to fraction form
    204,447.53/282,048.94 = 144,008.57/x
  3. Step 3: Cross multiply
    204,447.53x = 282,048.94 × 144,008.57
  4. Step 4: Simplify right side
    204,447.53x = 40,617,464,519.42
  5. Step 5: Solve for x
    x = 40,617,464,519.42/204,447.53
  6. Step 6: Final answer
    x = 198,669.38

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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.