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Finding the Fourth Proportional to 140,523.48, 193,920 and 76,859.94

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Solution

The fourth proportional to 140,523.48, 193,920 and 76,859.94 is: 106,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,523.48 : 193,920 = 76,859.94 : x
  2. Step 2: Convert to fraction form
    140,523.48/193,920 = 76,859.94/x
  3. Step 3: Cross multiply
    140,523.48x = 193,920 × 76,859.94
  4. Step 4: Simplify right side
    140,523.48x = 14,904,679,564.80
  5. Step 5: Solve for x
    x = 14,904,679,564.80/140,523.48
  6. Step 6: Final answer
    x = 106,065.40

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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.