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Finding the Fourth Proportional to 188,993.07, 283,339.75 and 99,018.52

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Solution

The fourth proportional to 188,993.07, 283,339.75 and 99,018.52 is: 148,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,993.07 : 283,339.75 = 99,018.52 : x
  2. Step 2: Convert to fraction form
    188,993.07/283,339.75 = 99,018.52/x
  3. Step 3: Cross multiply
    188,993.07x = 283,339.75 × 99,018.52
  4. Step 4: Simplify right side
    188,993.07x = 28,055,882,207.08
  5. Step 5: Solve for x
    x = 28,055,882,207.08/188,993.07
  6. Step 6: Final answer
    x = 148,449.27

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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.