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Finding the Fourth Proportional to 188,415.30, 282,659.40 and 55,299.90

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Solution

The fourth proportional to 188,415.30, 282,659.40 and 55,299.90 is: 82,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,415.30 : 282,659.40 = 55,299.90 : x
  2. Step 2: Convert to fraction form
    188,415.30/282,659.40 = 55,299.90/x
  3. Step 3: Cross multiply
    188,415.30x = 282,659.40 × 55,299.90
  4. Step 4: Simplify right side
    188,415.30x = 15,631,036,554.06
  5. Step 5: Solve for x
    x = 15,631,036,554.06/188,415.30
  6. Step 6: Final answer
    x = 82,960.55

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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.