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Finding the Fourth Proportional to 140,175.09, 193,434.30 and 76,500.54

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Solution

The fourth proportional to 140,175.09, 193,434.30 and 76,500.54 is: 105,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,175.09 : 193,434.30 = 76,500.54 : x
  2. Step 2: Convert to fraction form
    140,175.09/193,434.30 = 76,500.54/x
  3. Step 3: Cross multiply
    140,175.09x = 193,434.30 × 76,500.54
  4. Step 4: Simplify right side
    140,175.09x = 14,797,828,404.52
  5. Step 5: Solve for x
    x = 14,797,828,404.52/140,175.09
  6. Step 6: Final answer
    x = 105,566.75

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