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Finding the Fourth Proportional to 179,043.46, 268,582.73 and 65,222.20

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Solution

The fourth proportional to 179,043.46, 268,582.73 and 65,222.20 is: 97,839.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,043.46 : 268,582.73 = 65,222.20 : x
  2. Step 2: Convert to fraction form
    179,043.46/268,582.73 = 65,222.20/x
  3. Step 3: Cross multiply
    179,043.46x = 268,582.73 × 65,222.20
  4. Step 4: Simplify right side
    179,043.46x = 17,517,556,532.61
  5. Step 5: Solve for x
    x = 17,517,556,532.61/179,043.46
  6. Step 6: Final answer
    x = 97,839.69

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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.