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Finding the Fourth Proportional to 140,812.77, 194,322.06 and 76,282.68

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Solution

The fourth proportional to 140,812.77, 194,322.06 and 76,282.68 is: 105,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,812.77 : 194,322.06 = 76,282.68 : x
  2. Step 2: Convert to fraction form
    140,812.77/194,322.06 = 76,282.68/x
  3. Step 3: Cross multiply
    140,812.77x = 194,322.06 × 76,282.68
  4. Step 4: Simplify right side
    140,812.77x = 14,823,407,519.92
  5. Step 5: Solve for x
    x = 14,823,407,519.92/140,812.77
  6. Step 6: Final answer
    x = 105,270.34

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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.