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Finding the Fourth Proportional to 205,548.56, 308,322.98 and 55,788.88

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Solution

The fourth proportional to 205,548.56, 308,322.98 and 55,788.88 is: 83,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.56 : 308,322.98 = 55,788.88 : x
  2. Step 2: Convert to fraction form
    205,548.56/308,322.98 = 55,788.88/x
  3. Step 3: Cross multiply
    205,548.56x = 308,322.98 × 55,788.88
  4. Step 4: Simplify right side
    205,548.56x = 17,200,993,732.46
  5. Step 5: Solve for x
    x = 17,200,993,732.46/205,548.56
  6. Step 6: Final answer
    x = 83,683.36

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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.