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Finding the Fourth Proportional to 120,930.30, 181,385.73 and 42,033.06

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Solution

The fourth proportional to 120,930.30, 181,385.73 and 42,033.06 is: 63,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,930.30 : 181,385.73 = 42,033.06 : x
  2. Step 2: Convert to fraction form
    120,930.30/181,385.73 = 42,033.06/x
  3. Step 3: Cross multiply
    120,930.30x = 181,385.73 × 42,033.06
  4. Step 4: Simplify right side
    120,930.30x = 7,624,197,272.23
  5. Step 5: Solve for x
    x = 7,624,197,272.23/120,930.30
  6. Step 6: Final answer
    x = 63,046.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.