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Finding the Fourth Proportional to 133,853.96, 200,650.38 and 63,714.44

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Solution

The fourth proportional to 133,853.96, 200,650.38 and 63,714.44 is: 95,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,853.96 : 200,650.38 = 63,714.44 : x
  2. Step 2: Convert to fraction form
    133,853.96/200,650.38 = 63,714.44/x
  3. Step 3: Cross multiply
    133,853.96x = 200,650.38 × 63,714.44
  4. Step 4: Simplify right side
    133,853.96x = 12,784,326,597.49
  5. Step 5: Solve for x
    x = 12,784,326,597.49/133,853.96
  6. Step 6: Final answer
    x = 95,509.51

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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.