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Finding the Fourth Proportional to 275,358.18, 412,871.10 and 123,527.58

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Solution

The fourth proportional to 275,358.18, 412,871.10 and 123,527.58 is: 185,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,358.18 : 412,871.10 = 123,527.58 : x
  2. Step 2: Convert to fraction form
    275,358.18/412,871.10 = 123,527.58/x
  3. Step 3: Cross multiply
    275,358.18x = 412,871.10 × 123,527.58
  4. Step 4: Simplify right side
    275,358.18x = 51,000,967,834.94
  5. Step 5: Solve for x
    x = 51,000,967,834.94/275,358.18
  6. Step 6: Final answer
    x = 185,216.82

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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.