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Finding the Fourth Proportional to 96,274.80, 144,023.40 and 83,271.60

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Solution

The fourth proportional to 96,274.80, 144,023.40 and 83,271.60 is: 124,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,274.80 : 144,023.40 = 83,271.60 : x
  2. Step 2: Convert to fraction form
    96,274.80/144,023.40 = 83,271.60/x
  3. Step 3: Cross multiply
    96,274.80x = 144,023.40 × 83,271.60
  4. Step 4: Simplify right side
    96,274.80x = 11,993,058,955.44
  5. Step 5: Solve for x
    x = 11,993,058,955.44/96,274.80
  6. Step 6: Final answer
    x = 124,571.11

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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.