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Finding the Fourth Proportional to 282,122.40, 389,329.38 and 154,798.96

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Solution

The fourth proportional to 282,122.40, 389,329.38 and 154,798.96 is: 213,622.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,122.40 : 389,329.38 = 154,798.96 : x
  2. Step 2: Convert to fraction form
    282,122.40/389,329.38 = 154,798.96/x
  3. Step 3: Cross multiply
    282,122.40x = 389,329.38 × 154,798.96
  4. Step 4: Simplify right side
    282,122.40x = 60,267,783,121.44
  5. Step 5: Solve for x
    x = 60,267,783,121.44/282,122.40
  6. Step 6: Final answer
    x = 213,622.82

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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.