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Finding the Fourth Proportional to 188,714.72, 283,072.08 and 48,473.48

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Solution

The fourth proportional to 188,714.72, 283,072.08 and 48,473.48 is: 72,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,714.72 : 283,072.08 = 48,473.48 : x
  2. Step 2: Convert to fraction form
    188,714.72/283,072.08 = 48,473.48/x
  3. Step 3: Cross multiply
    188,714.72x = 283,072.08 × 48,473.48
  4. Step 4: Simplify right side
    188,714.72x = 13,721,488,808.44
  5. Step 5: Solve for x
    x = 13,721,488,808.44/188,714.72
  6. Step 6: Final answer
    x = 72,710.22

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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.