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Finding the Fourth Proportional to 120,855.94, 181,302.36 and 61,659.34

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Solution

The fourth proportional to 120,855.94, 181,302.36 and 61,659.34 is: 92,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,855.94 : 181,302.36 = 61,659.34 : x
  2. Step 2: Convert to fraction form
    120,855.94/181,302.36 = 61,659.34/x
  3. Step 3: Cross multiply
    120,855.94x = 181,302.36 × 61,659.34
  4. Step 4: Simplify right side
    120,855.94x = 11,178,983,858.04
  5. Step 5: Solve for x
    x = 11,178,983,858.04/120,855.94
  6. Step 6: Final answer
    x = 92,498.42

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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.