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Finding the Fourth Proportional to 282,725.11, 424,231.17 and 188,021.17

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Solution

The fourth proportional to 282,725.11, 424,231.17 and 188,021.17 is: 282,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,725.11 : 424,231.17 = 188,021.17 : x
  2. Step 2: Convert to fraction form
    282,725.11/424,231.17 = 188,021.17/x
  3. Step 3: Cross multiply
    282,725.11x = 424,231.17 × 188,021.17
  4. Step 4: Simplify right side
    282,725.11x = 79,764,440,933.87
  5. Step 5: Solve for x
    x = 79,764,440,933.87/282,725.11
  6. Step 6: Final answer
    x = 282,127.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.