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Finding the Fourth Proportional to 282,809.97, 424,103.76 and 102,852.68

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Solution

The fourth proportional to 282,809.97, 424,103.76 and 102,852.68 is: 154,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,809.97 : 424,103.76 = 102,852.68 : x
  2. Step 2: Convert to fraction form
    282,809.97/424,103.76 = 102,852.68/x
  3. Step 3: Cross multiply
    282,809.97x = 424,103.76 × 102,852.68
  4. Step 4: Simplify right side
    282,809.97x = 43,620,206,193.56
  5. Step 5: Solve for x
    x = 43,620,206,193.56/282,809.97
  6. Step 6: Final answer
    x = 154,238.57

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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.