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Finding the Fourth Proportional to 253,176.74, 379,952.01 and 120,057.44

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Solution

The fourth proportional to 253,176.74, 379,952.01 and 120,057.44 is: 180,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,176.74 : 379,952.01 = 120,057.44 : x
  2. Step 2: Convert to fraction form
    253,176.74/379,952.01 = 120,057.44/x
  3. Step 3: Cross multiply
    253,176.74x = 379,952.01 × 120,057.44
  4. Step 4: Simplify right side
    253,176.74x = 45,616,065,643.45
  5. Step 5: Solve for x
    x = 45,616,065,643.45/253,176.74
  6. Step 6: Final answer
    x = 180,174.79

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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.