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Finding the Fourth Proportional to 365,761.20, 548,423.10 and 188,614.20

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Solution

The fourth proportional to 365,761.20, 548,423.10 and 188,614.20 is: 282,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,761.20 : 548,423.10 = 188,614.20 : x
  2. Step 2: Convert to fraction form
    365,761.20/548,423.10 = 188,614.20/x
  3. Step 3: Cross multiply
    365,761.20x = 548,423.10 × 188,614.20
  4. Step 4: Simplify right side
    365,761.20x = 103,440,384,268.02
  5. Step 5: Solve for x
    x = 103,440,384,268.02/365,761.20
  6. Step 6: Final answer
    x = 282,808.52

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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.