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Finding the Fourth Proportional to 205,662.23, 308,500.17 and 70,724.97

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Solution

The fourth proportional to 205,662.23, 308,500.17 and 70,724.97 is: 106,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,662.23 : 308,500.17 = 70,724.97 : x
  2. Step 2: Convert to fraction form
    205,662.23/308,500.17 = 70,724.97/x
  3. Step 3: Cross multiply
    205,662.23x = 308,500.17 × 70,724.97
  4. Step 4: Simplify right side
    205,662.23x = 21,818,666,702.34
  5. Step 5: Solve for x
    x = 21,818,666,702.34/205,662.23
  6. Step 6: Final answer
    x = 106,089.81

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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.