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Finding the Fourth Proportional to 260,348.80, 390,544.80 and 82,850.80

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Solution

The fourth proportional to 260,348.80, 390,544.80 and 82,850.80 is: 124,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,348.80 : 390,544.80 = 82,850.80 : x
  2. Step 2: Convert to fraction form
    260,348.80/390,544.80 = 82,850.80/x
  3. Step 3: Cross multiply
    260,348.80x = 390,544.80 × 82,850.80
  4. Step 4: Simplify right side
    260,348.80x = 32,356,949,115.84
  5. Step 5: Solve for x
    x = 32,356,949,115.84/260,348.80
  6. Step 6: Final answer
    x = 124,283.07

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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.