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Finding the Fourth Proportional to 140,152.14, 193,408.56 and 76,489.38

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Solution

The fourth proportional to 140,152.14, 193,408.56 and 76,489.38 is: 105,554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,152.14 : 193,408.56 = 76,489.38 : x
  2. Step 2: Convert to fraction form
    140,152.14/193,408.56 = 76,489.38/x
  3. Step 3: Cross multiply
    140,152.14x = 193,408.56 × 76,489.38
  4. Step 4: Simplify right side
    140,152.14x = 14,793,700,841.09
  5. Step 5: Solve for x
    x = 14,793,700,841.09/140,152.14
  6. Step 6: Final answer
    x = 105,554.58

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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.