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Finding the Fourth Proportional to 188,916.80, 283,797.60 and 157,812.80

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Solution

The fourth proportional to 188,916.80, 283,797.60 and 157,812.80 is: 237,072.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,916.80 : 283,797.60 = 157,812.80 : x
  2. Step 2: Convert to fraction form
    188,916.80/283,797.60 = 157,812.80/x
  3. Step 3: Cross multiply
    188,916.80x = 283,797.60 × 157,812.80
  4. Step 4: Simplify right side
    188,916.80x = 44,786,893,889.28
  5. Step 5: Solve for x
    x = 44,786,893,889.28/188,916.80
  6. Step 6: Final answer
    x = 237,072.05

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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.