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Finding the Fourth Proportional to 188,184.96, 282,274.56 and 63,613.44

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Solution

The fourth proportional to 188,184.96, 282,274.56 and 63,613.44 is: 95,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,184.96 : 282,274.56 = 63,613.44 : x
  2. Step 2: Convert to fraction form
    188,184.96/282,274.56 = 63,613.44/x
  3. Step 3: Cross multiply
    188,184.96x = 282,274.56 × 63,613.44
  4. Step 4: Simplify right side
    188,184.96x = 17,956,455,786.09
  5. Step 5: Solve for x
    x = 17,956,455,786.09/188,184.96
  6. Step 6: Final answer
    x = 95,419.19

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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.