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Finding the Fourth Proportional to 188,919.80, 283,802.10 and 157,815.80

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Solution

The fourth proportional to 188,919.80, 283,802.10 and 157,815.80 is: 237,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,919.80 : 283,802.10 = 157,815.80 : x
  2. Step 2: Convert to fraction form
    188,919.80/283,802.10 = 157,815.80/x
  3. Step 3: Cross multiply
    188,919.80x = 283,802.10 × 157,815.80
  4. Step 4: Simplify right side
    188,919.80x = 44,788,455,453.18
  5. Step 5: Solve for x
    x = 44,788,455,453.18/188,919.80
  6. Step 6: Final answer
    x = 237,076.56

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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.