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Finding the Fourth Proportional to 282,846.34, 424,269.36 and 83,168.38

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Solution

The fourth proportional to 282,846.34, 424,269.36 and 83,168.38 is: 124,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,846.34 : 424,269.36 = 83,168.38 : x
  2. Step 2: Convert to fraction form
    282,846.34/424,269.36 = 83,168.38/x
  3. Step 3: Cross multiply
    282,846.34x = 424,269.36 × 83,168.38
  4. Step 4: Simplify right side
    282,846.34x = 35,285,795,354.84
  5. Step 5: Solve for x
    x = 35,285,795,354.84/282,846.34
  6. Step 6: Final answer
    x = 124,752.53

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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.