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Finding the Fourth Proportional to 202,969.54, 280,091.04 and 112,329.31

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Solution

The fourth proportional to 202,969.54, 280,091.04 and 112,329.31 is: 155,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.54 : 280,091.04 = 112,329.31 : x
  2. Step 2: Convert to fraction form
    202,969.54/280,091.04 = 112,329.31/x
  3. Step 3: Cross multiply
    202,969.54x = 280,091.04 × 112,329.31
  4. Step 4: Simplify right side
    202,969.54x = 31,462,433,260.38
  5. Step 5: Solve for x
    x = 31,462,433,260.38/202,969.54
  6. Step 6: Final answer
    x = 155,010.62

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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.