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Finding the Fourth Proportional to 83,457.68, 125,218.48 and 50,201.30

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Solution

The fourth proportional to 83,457.68, 125,218.48 and 50,201.30 is: 75,321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,457.68 : 125,218.48 = 50,201.30 : x
  2. Step 2: Convert to fraction form
    83,457.68/125,218.48 = 50,201.30/x
  3. Step 3: Cross multiply
    83,457.68x = 125,218.48 × 50,201.30
  4. Step 4: Simplify right side
    83,457.68x = 6,286,130,480.02
  5. Step 5: Solve for x
    x = 6,286,130,480.02/83,457.68
  6. Step 6: Final answer
    x = 75,321.17

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Why These Related Problems?

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