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Finding the Fourth Proportional to 188,558.82, 282,782.85 and 55,407.42

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Solution

The fourth proportional to 188,558.82, 282,782.85 and 55,407.42 is: 83,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,558.82 : 282,782.85 = 55,407.42 : x
  2. Step 2: Convert to fraction form
    188,558.82/282,782.85 = 55,407.42/x
  3. Step 3: Cross multiply
    188,558.82x = 282,782.85 × 55,407.42
  4. Step 4: Simplify right side
    188,558.82x = 15,668,268,138.75
  5. Step 5: Solve for x
    x = 15,668,268,138.75/188,558.82
  6. Step 6: Final answer
    x = 83,094.86

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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.