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Finding the Fourth Proportional to 205,698.56, 308,554.56 and 70,761.24

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Solution

The fourth proportional to 205,698.56, 308,554.56 and 70,761.24 is: 106,144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,698.56 : 308,554.56 = 70,761.24 : x
  2. Step 2: Convert to fraction form
    205,698.56/308,554.56 = 70,761.24/x
  3. Step 3: Cross multiply
    205,698.56x = 308,554.56 × 70,761.24
  4. Step 4: Simplify right side
    205,698.56x = 21,833,703,273.25
  5. Step 5: Solve for x
    x = 21,833,703,273.25/205,698.56
  6. Step 6: Final answer
    x = 106,144.17

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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.