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Finding the Fourth Proportional to 206,969.30, 310,194.24 and 88,501.33

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Solution

The fourth proportional to 206,969.30, 310,194.24 and 88,501.33 is: 132,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969.30 : 310,194.24 = 88,501.33 : x
  2. Step 2: Convert to fraction form
    206,969.30/310,194.24 = 88,501.33/x
  3. Step 3: Cross multiply
    206,969.30x = 310,194.24 × 88,501.33
  4. Step 4: Simplify right side
    206,969.30x = 27,452,600,804.86
  5. Step 5: Solve for x
    x = 27,452,600,804.86/206,969.30
  6. Step 6: Final answer
    x = 132,640.93

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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.