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Finding the Fourth Proportional to 76,198.40, 114,038.40 and 66,867.20

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Solution

The fourth proportional to 76,198.40, 114,038.40 and 66,867.20 is: 100,073.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198.40 : 114,038.40 = 66,867.20 : x
  2. Step 2: Convert to fraction form
    76,198.40/114,038.40 = 66,867.20/x
  3. Step 3: Cross multiply
    76,198.40x = 114,038.40 × 66,867.20
  4. Step 4: Simplify right side
    76,198.40x = 7,625,428,500.48
  5. Step 5: Solve for x
    x = 7,625,428,500.48/76,198.40
  6. Step 6: Final answer
    x = 100,073.34

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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.