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Finding the Fourth Proportional to 282,323.36, 389,601.38 and 154,998.05

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Solution

The fourth proportional to 282,323.36, 389,601.38 and 154,998.05 is: 213,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,323.36 : 389,601.38 = 154,998.05 : x
  2. Step 2: Convert to fraction form
    282,323.36/389,601.38 = 154,998.05/x
  3. Step 3: Cross multiply
    282,323.36x = 389,601.38 × 154,998.05
  4. Step 4: Simplify right side
    282,323.36x = 60,387,452,616.80
  5. Step 5: Solve for x
    x = 60,387,452,616.80/282,323.36
  6. Step 6: Final answer
    x = 213,894.64

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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.