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Finding the Fourth Proportional to 361,761.94, 542,336.70 and 136,998.46

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Solution

The fourth proportional to 361,761.94, 542,336.70 and 136,998.46 is: 205,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,761.94 : 542,336.70 = 136,998.46 : x
  2. Step 2: Convert to fraction form
    361,761.94/542,336.70 = 136,998.46/x
  3. Step 3: Cross multiply
    361,761.94x = 542,336.70 × 136,998.46
  4. Step 4: Simplify right side
    361,761.94x = 74,299,292,701.48
  5. Step 5: Solve for x
    x = 74,299,292,701.48/361,761.94
  6. Step 6: Final answer
    x = 205,381.73

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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.