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Finding the Fourth Proportional to 188,120.50, 282,273.01 and 88,288.81

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Solution

The fourth proportional to 188,120.50, 282,273.01 and 88,288.81 is: 132,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,120.50 : 282,273.01 = 88,288.81 : x
  2. Step 2: Convert to fraction form
    188,120.50/282,273.01 = 88,288.81/x
  3. Step 3: Cross multiply
    188,120.50x = 282,273.01 × 88,288.81
  4. Step 4: Simplify right side
    188,120.50x = 24,921,548,148.02
  5. Step 5: Solve for x
    x = 24,921,548,148.02/188,120.50
  6. Step 6: Final answer
    x = 132,476.51

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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.