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Finding the Fourth Proportional to 204,510.80, 306,766.20 and 141,525.20

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Solution

The fourth proportional to 204,510.80, 306,766.20 and 141,525.20 is: 212,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,510.80 : 306,766.20 = 141,525.20 : x
  2. Step 2: Convert to fraction form
    204,510.80/306,766.20 = 141,525.20/x
  3. Step 3: Cross multiply
    204,510.80x = 306,766.20 × 141,525.20
  4. Step 4: Simplify right side
    204,510.80x = 43,415,147,808.24
  5. Step 5: Solve for x
    x = 43,415,147,808.24/204,510.80
  6. Step 6: Final answer
    x = 212,287.80

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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.