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Finding the Fourth Proportional to 128,714.64, 193,072.08 and 73,194

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Solution

The fourth proportional to 128,714.64, 193,072.08 and 73,194 is: 109,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,714.64 : 193,072.08 = 73,194 : x
  2. Step 2: Convert to fraction form
    128,714.64/193,072.08 = 73,194/x
  3. Step 3: Cross multiply
    128,714.64x = 193,072.08 × 73,194
  4. Step 4: Simplify right side
    128,714.64x = 14,131,717,823.52
  5. Step 5: Solve for x
    x = 14,131,717,823.52/128,714.64
  6. Step 6: Final answer
    x = 109,791.07

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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.