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Finding the Fourth Proportional to 120,736, 181,113.99 and 37,630

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Solution

The fourth proportional to 120,736, 181,113.99 and 37,630 is: 56,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736 : 181,113.99 = 37,630 : x
  2. Step 2: Convert to fraction form
    120,736/181,113.99 = 37,630/x
  3. Step 3: Cross multiply
    120,736x = 181,113.99 × 37,630
  4. Step 4: Simplify right side
    120,736x = 6,815,319,443.70
  5. Step 5: Solve for x
    x = 6,815,319,443.70/120,736
  6. Step 6: Final answer
    x = 56,448.11

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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.