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Finding the Fourth Proportional to 282,324.36, 389,602.76 and 154,999.05

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Solution

The fourth proportional to 282,324.36, 389,602.76 and 154,999.05 is: 213,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,324.36 : 389,602.76 = 154,999.05 : x
  2. Step 2: Convert to fraction form
    282,324.36/389,602.76 = 154,999.05/x
  3. Step 3: Cross multiply
    282,324.36x = 389,602.76 × 154,999.05
  4. Step 4: Simplify right side
    282,324.36x = 60,388,057,677.38
  5. Step 5: Solve for x
    x = 60,388,057,677.38/282,324.36
  6. Step 6: Final answer
    x = 213,896.02

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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.