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Finding the Fourth Proportional to 140,376.38, 193,719.15 and 76,714.11

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Solution

The fourth proportional to 140,376.38, 193,719.15 and 76,714.11 is: 105,865.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,376.38 : 193,719.15 = 76,714.11 : x
  2. Step 2: Convert to fraction form
    140,376.38/193,719.15 = 76,714.11/x
  3. Step 3: Cross multiply
    140,376.38x = 193,719.15 × 76,714.11
  4. Step 4: Simplify right side
    140,376.38x = 14,860,992,182.21
  5. Step 5: Solve for x
    x = 14,860,992,182.21/140,376.38
  6. Step 6: Final answer
    x = 105,865.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.