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Finding the Fourth Proportional to 275,498.42, 380,182.28 and 152,984.38

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Solution

The fourth proportional to 275,498.42, 380,182.28 and 152,984.38 is: 211,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,498.42 : 380,182.28 = 152,984.38 : x
  2. Step 2: Convert to fraction form
    275,498.42/380,182.28 = 152,984.38/x
  3. Step 3: Cross multiply
    275,498.42x = 380,182.28 × 152,984.38
  4. Step 4: Simplify right side
    275,498.42x = 58,161,950,392.79
  5. Step 5: Solve for x
    x = 58,161,950,392.79/275,498.42
  6. Step 6: Final answer
    x = 211,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.