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Finding the Fourth Proportional to 361,102.31, 498,315.06 and 199,953.90

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Solution

The fourth proportional to 361,102.31, 498,315.06 and 199,953.90 is: 275,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,102.31 : 498,315.06 = 199,953.90 : x
  2. Step 2: Convert to fraction form
    361,102.31/498,315.06 = 199,953.90/x
  3. Step 3: Cross multiply
    361,102.31x = 498,315.06 × 199,953.90
  4. Step 4: Simplify right side
    361,102.31x = 99,640,036,184.39
  5. Step 5: Solve for x
    x = 99,640,036,184.39/361,102.31
  6. Step 6: Final answer
    x = 275,932.98

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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.