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Finding the Fourth Proportional to 253,499.72, 349,825.38 and 140,320.04

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Solution

The fourth proportional to 253,499.72, 349,825.38 and 140,320.04 is: 193,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,499.72 : 349,825.38 = 140,320.04 : x
  2. Step 2: Convert to fraction form
    253,499.72/349,825.38 = 140,320.04/x
  3. Step 3: Cross multiply
    253,499.72x = 349,825.38 × 140,320.04
  4. Step 4: Simplify right side
    253,499.72x = 49,087,511,314.62
  5. Step 5: Solve for x
    x = 49,087,511,314.62/253,499.72
  6. Step 6: Final answer
    x = 193,639.31

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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.