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Finding the Fourth Proportional to 251,382.78, 346,983.02 and 144,024.30

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Solution

The fourth proportional to 251,382.78, 346,983.02 and 144,024.30 is: 198,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,382.78 : 346,983.02 = 144,024.30 : x
  2. Step 2: Convert to fraction form
    251,382.78/346,983.02 = 144,024.30/x
  3. Step 3: Cross multiply
    251,382.78x = 346,983.02 × 144,024.30
  4. Step 4: Simplify right side
    251,382.78x = 49,973,986,567.39
  5. Step 5: Solve for x
    x = 49,973,986,567.39/251,382.78
  6. Step 6: Final answer
    x = 198,796.38

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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.