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Finding the Fourth Proportional to 275,205.54, 412,808.67 and 75,528.66

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Solution

The fourth proportional to 275,205.54, 412,808.67 and 75,528.66 is: 113,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205.54 : 412,808.67 = 75,528.66 : x
  2. Step 2: Convert to fraction form
    275,205.54/412,808.67 = 75,528.66/x
  3. Step 3: Cross multiply
    275,205.54x = 412,808.67 × 75,528.66
  4. Step 4: Simplify right side
    275,205.54x = 31,178,885,681.48
  5. Step 5: Solve for x
    x = 31,178,885,681.48/275,205.54
  6. Step 6: Final answer
    x = 113,293.09

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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.