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Finding the Fourth Proportional to 116,218.36, 174,401.28 and 49,659

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Solution

The fourth proportional to 116,218.36, 174,401.28 and 49,659 is: 74,520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,218.36 : 174,401.28 = 49,659 : x
  2. Step 2: Convert to fraction form
    116,218.36/174,401.28 = 49,659/x
  3. Step 3: Cross multiply
    116,218.36x = 174,401.28 × 49,659
  4. Step 4: Simplify right side
    116,218.36x = 8,660,593,163.52
  5. Step 5: Solve for x
    x = 8,660,593,163.52/116,218.36
  6. Step 6: Final answer
    x = 74,520.01

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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.