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Finding the Fourth Proportional to 116,469.20, 174,271.80 and 85,365.20

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Solution

The fourth proportional to 116,469.20, 174,271.80 and 85,365.20 is: 127,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,469.20 : 174,271.80 = 85,365.20 : x
  2. Step 2: Convert to fraction form
    116,469.20/174,271.80 = 85,365.20/x
  3. Step 3: Cross multiply
    116,469.20x = 174,271.80 × 85,365.20
  4. Step 4: Simplify right side
    116,469.20x = 14,876,747,061.36
  5. Step 5: Solve for x
    x = 14,876,747,061.36/116,469.20
  6. Step 6: Final answer
    x = 127,731.17

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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.