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Finding the Fourth Proportional to 205,915.88, 308,896.86 and 65,641.96

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Solution

The fourth proportional to 205,915.88, 308,896.86 and 65,641.96 is: 98,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.88 : 308,896.86 = 65,641.96 : x
  2. Step 2: Convert to fraction form
    205,915.88/308,896.86 = 65,641.96/x
  3. Step 3: Cross multiply
    205,915.88x = 308,896.86 × 65,641.96
  4. Step 4: Simplify right side
    205,915.88x = 20,276,595,328.25
  5. Step 5: Solve for x
    x = 20,276,595,328.25/205,915.88
  6. Step 6: Final answer
    x = 98,470.28

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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.