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Finding the Fourth Proportional to 96,272.80, 144,020.40 and 83,269.60

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Solution

The fourth proportional to 96,272.80, 144,020.40 and 83,269.60 is: 124,568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,272.80 : 144,020.40 = 83,269.60 : x
  2. Step 2: Convert to fraction form
    96,272.80/144,020.40 = 83,269.60/x
  3. Step 3: Cross multiply
    96,272.80x = 144,020.40 × 83,269.60
  4. Step 4: Simplify right side
    96,272.80x = 11,992,521,099.84
  5. Step 5: Solve for x
    x = 11,992,521,099.84/96,272.80
  6. Step 6: Final answer
    x = 124,568.11

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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.