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Finding the Fourth Proportional to 120,199.46, 180,297.15 and 35,959.82

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Solution

The fourth proportional to 120,199.46, 180,297.15 and 35,959.82 is: 53,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,199.46 : 180,297.15 = 35,959.82 : x
  2. Step 2: Convert to fraction form
    120,199.46/180,297.15 = 35,959.82/x
  3. Step 3: Cross multiply
    120,199.46x = 180,297.15 × 35,959.82
  4. Step 4: Simplify right side
    120,199.46x = 6,483,453,060.51
  5. Step 5: Solve for x
    x = 6,483,453,060.51/120,199.46
  6. Step 6: Final answer
    x = 53,939.12

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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.