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Finding the Fourth Proportional to 205,258.56, 307,896.48 and 65,014.08

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Solution

The fourth proportional to 205,258.56, 307,896.48 and 65,014.08 is: 97,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,258.56 : 307,896.48 = 65,014.08 : x
  2. Step 2: Convert to fraction form
    205,258.56/307,896.48 = 65,014.08/x
  3. Step 3: Cross multiply
    205,258.56x = 307,896.48 × 65,014.08
  4. Step 4: Simplify right side
    205,258.56x = 20,017,606,382.44
  5. Step 5: Solve for x
    x = 20,017,606,382.44/205,258.56
  6. Step 6: Final answer
    x = 97,523.86

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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.