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Finding the Fourth Proportional to 140,416.96, 210,645.33 and 45,616.81

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Solution

The fourth proportional to 140,416.96, 210,645.33 and 45,616.81 is: 68,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,416.96 : 210,645.33 = 45,616.81 : x
  2. Step 2: Convert to fraction form
    140,416.96/210,645.33 = 45,616.81/x
  3. Step 3: Cross multiply
    140,416.96x = 210,645.33 × 45,616.81
  4. Step 4: Simplify right side
    140,416.96x = 9,608,967,996.00
  5. Step 5: Solve for x
    x = 9,608,967,996.00/140,416.96
  6. Step 6: Final answer
    x = 68,431.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.