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Finding the Fourth Proportional to 120,791.80, 181,014.90 and 83,812.60

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Solution

The fourth proportional to 120,791.80, 181,014.90 and 83,812.60 is: 125,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,791.80 : 181,014.90 = 83,812.60 : x
  2. Step 2: Convert to fraction form
    120,791.80/181,014.90 = 83,812.60/x
  3. Step 3: Cross multiply
    120,791.80x = 181,014.90 × 83,812.60
  4. Step 4: Simplify right side
    120,791.80x = 15,171,329,407.74
  5. Step 5: Solve for x
    x = 15,171,329,407.74/120,791.80
  6. Step 6: Final answer
    x = 125,599.00

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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.