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Finding the Fourth Proportional to 188,875.72, 283,344.35 and 55,769.43

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Solution

The fourth proportional to 188,875.72, 283,344.35 and 55,769.43 is: 83,663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,875.72 : 283,344.35 = 55,769.43 : x
  2. Step 2: Convert to fraction form
    188,875.72/283,344.35 = 55,769.43/x
  3. Step 3: Cross multiply
    188,875.72x = 283,344.35 × 55,769.43
  4. Step 4: Simplify right side
    188,875.72x = 15,801,952,893.22
  5. Step 5: Solve for x
    x = 15,801,952,893.22/188,875.72
  6. Step 6: Final answer
    x = 83,663.23

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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.