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Finding the Fourth Proportional to 120,859.17, 181,261.41 and 45,952.61

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Solution

The fourth proportional to 120,859.17, 181,261.41 and 45,952.61 is: 68,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,859.17 : 181,261.41 = 45,952.61 : x
  2. Step 2: Convert to fraction form
    120,859.17/181,261.41 = 45,952.61/x
  3. Step 3: Cross multiply
    120,859.17x = 181,261.41 × 45,952.61
  4. Step 4: Simplify right side
    120,859.17x = 8,329,433,975.47
  5. Step 5: Solve for x
    x = 8,329,433,975.47/120,859.17
  6. Step 6: Final answer
    x = 68,918.51

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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.