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Finding the Fourth Proportional to 188,851.60, 283,018.20 and 153,859.60

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Solution

The fourth proportional to 188,851.60, 283,018.20 and 153,859.60 is: 230,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,851.60 : 283,018.20 = 153,859.60 : x
  2. Step 2: Convert to fraction form
    188,851.60/283,018.20 = 153,859.60/x
  3. Step 3: Cross multiply
    188,851.60x = 283,018.20 × 153,859.60
  4. Step 4: Simplify right side
    188,851.60x = 43,545,067,044.72
  5. Step 5: Solve for x
    x = 43,545,067,044.72/188,851.60
  6. Step 6: Final answer
    x = 230,578.23

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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.