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Finding the Fourth Proportional to 188,790.52, 283,185.43 and 55,764.19

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Solution

The fourth proportional to 188,790.52, 283,185.43 and 55,764.19 is: 83,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,790.52 : 283,185.43 = 55,764.19 : x
  2. Step 2: Convert to fraction form
    188,790.52/283,185.43 = 55,764.19/x
  3. Step 3: Cross multiply
    188,790.52x = 283,185.43 × 55,764.19
  4. Step 4: Simplify right side
    188,790.52x = 15,791,605,984.34
  5. Step 5: Solve for x
    x = 15,791,605,984.34/188,790.52
  6. Step 6: Final answer
    x = 83,646.18

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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.