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Finding the Fourth Proportional to 188,040.96, 282,000.96 and 99,243.36

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Solution

The fourth proportional to 188,040.96, 282,000.96 and 99,243.36 is: 148,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,040.96 : 282,000.96 = 99,243.36 : x
  2. Step 2: Convert to fraction form
    188,040.96/282,000.96 = 99,243.36/x
  3. Step 3: Cross multiply
    188,040.96x = 282,000.96 × 99,243.36
  4. Step 4: Simplify right side
    188,040.96x = 27,986,722,793.63
  5. Step 5: Solve for x
    x = 27,986,722,793.63/188,040.96
  6. Step 6: Final answer
    x = 148,833.12

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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.