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Finding the Fourth Proportional to 100,998.63, 151,451.37 and 29,895.82

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Solution

The fourth proportional to 100,998.63, 151,451.37 and 29,895.82 is: 44,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998.63 : 151,451.37 = 29,895.82 : x
  2. Step 2: Convert to fraction form
    100,998.63/151,451.37 = 29,895.82/x
  3. Step 3: Cross multiply
    100,998.63x = 151,451.37 × 29,895.82
  4. Step 4: Simplify right side
    100,998.63x = 4,527,762,517.64
  5. Step 5: Solve for x
    x = 4,527,762,517.64/100,998.63
  6. Step 6: Final answer
    x = 44,829.94

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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.