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Finding the Fourth Proportional to 126,504.84, 174,723.84 and 83,989.56

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Solution

The fourth proportional to 126,504.84, 174,723.84 and 83,989.56 is: 116,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,504.84 : 174,723.84 = 83,989.56 : x
  2. Step 2: Convert to fraction form
    126,504.84/174,723.84 = 83,989.56/x
  3. Step 3: Cross multiply
    126,504.84x = 174,723.84 × 83,989.56
  4. Step 4: Simplify right side
    126,504.84x = 14,674,978,443.11
  5. Step 5: Solve for x
    x = 14,674,978,443.11/126,504.84
  6. Step 6: Final answer
    x = 116,003.30

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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.