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Finding the Fourth Proportional to 188,120.99, 282,273.76 and 88,289.30

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Solution

The fourth proportional to 188,120.99, 282,273.76 and 88,289.30 is: 132,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,120.99 : 282,273.76 = 88,289.30 : x
  2. Step 2: Convert to fraction form
    188,120.99/282,273.76 = 88,289.30/x
  3. Step 3: Cross multiply
    188,120.99x = 282,273.76 × 88,289.30
  4. Step 4: Simplify right side
    188,120.99x = 24,921,752,678.77
  5. Step 5: Solve for x
    x = 24,921,752,678.77/188,120.99
  6. Step 6: Final answer
    x = 132,477.26

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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.