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Finding the Fourth Proportional to 145,029.69, 200,161.80 and 80,513.73

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Solution

The fourth proportional to 145,029.69, 200,161.80 and 80,513.73 is: 111,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,029.69 : 200,161.80 = 80,513.73 : x
  2. Step 2: Convert to fraction form
    145,029.69/200,161.80 = 80,513.73/x
  3. Step 3: Cross multiply
    145,029.69x = 200,161.80 × 80,513.73
  4. Step 4: Simplify right side
    145,029.69x = 16,115,773,121.51
  5. Step 5: Solve for x
    x = 16,115,773,121.51/145,029.69
  6. Step 6: Final answer
    x = 111,120.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.