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Finding the Fourth Proportional to 188,211.72, 282,242.52 and 82,956

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Solution

The fourth proportional to 188,211.72, 282,242.52 and 82,956 is: 124,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,211.72 : 282,242.52 = 82,956 : x
  2. Step 2: Convert to fraction form
    188,211.72/282,242.52 = 82,956/x
  3. Step 3: Cross multiply
    188,211.72x = 282,242.52 × 82,956
  4. Step 4: Simplify right side
    188,211.72x = 23,413,710,489.12
  5. Step 5: Solve for x
    x = 23,413,710,489.12/188,211.72
  6. Step 6: Final answer
    x = 124,400.92

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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.