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Finding the Fourth Proportional to 188,647.20, 282,873.40 and 55,510.15

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Solution

The fourth proportional to 188,647.20, 282,873.40 and 55,510.15 is: 83,236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,647.20 : 282,873.40 = 55,510.15 : x
  2. Step 2: Convert to fraction form
    188,647.20/282,873.40 = 55,510.15/x
  3. Step 3: Cross multiply
    188,647.20x = 282,873.40 × 55,510.15
  4. Step 4: Simplify right side
    188,647.20x = 15,702,344,865.01
  5. Step 5: Solve for x
    x = 15,702,344,865.01/188,647.20
  6. Step 6: Final answer
    x = 83,236.56

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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.