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Finding the Fourth Proportional to 120,853.49, 181,284.78 and 45,959.67

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Solution

The fourth proportional to 120,853.49, 181,284.78 and 45,959.67 is: 68,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,853.49 : 181,284.78 = 45,959.67 : x
  2. Step 2: Convert to fraction form
    120,853.49/181,284.78 = 45,959.67/x
  3. Step 3: Cross multiply
    120,853.49x = 181,284.78 × 45,959.67
  4. Step 4: Simplify right side
    120,853.49x = 8,331,788,664.82
  5. Step 5: Solve for x
    x = 8,331,788,664.82/120,853.49
  6. Step 6: Final answer
    x = 68,941.24

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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.