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Finding the Fourth Proportional to 252,966.54, 349,080.09 and 139,782

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Solution

The fourth proportional to 252,966.54, 349,080.09 and 139,782 is: 192,891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,966.54 : 349,080.09 = 139,782 : x
  2. Step 2: Convert to fraction form
    252,966.54/349,080.09 = 139,782/x
  3. Step 3: Cross multiply
    252,966.54x = 349,080.09 × 139,782
  4. Step 4: Simplify right side
    252,966.54x = 48,795,113,140.38
  5. Step 5: Solve for x
    x = 48,795,113,140.38/252,966.54
  6. Step 6: Final answer
    x = 192,891.57

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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.