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Finding the Fourth Proportional to 205,888.18, 308,766.66 and 65,614

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Solution

The fourth proportional to 205,888.18, 308,766.66 and 65,614 is: 98,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,888.18 : 308,766.66 = 65,614 : x
  2. Step 2: Convert to fraction form
    205,888.18/308,766.66 = 65,614/x
  3. Step 3: Cross multiply
    205,888.18x = 308,766.66 × 65,614
  4. Step 4: Simplify right side
    205,888.18x = 20,259,415,629.24
  5. Step 5: Solve for x
    x = 20,259,415,629.24/205,888.18
  6. Step 6: Final answer
    x = 98,400.09

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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.