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Finding the Fourth Proportional to 120,338.68, 180,536.82 and 37,232.68

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Solution

The fourth proportional to 120,338.68, 180,536.82 and 37,232.68 is: 55,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,338.68 : 180,536.82 = 37,232.68 : x
  2. Step 2: Convert to fraction form
    120,338.68/180,536.82 = 37,232.68/x
  3. Step 3: Cross multiply
    120,338.68x = 180,536.82 × 37,232.68
  4. Step 4: Simplify right side
    120,338.68x = 6,721,869,647.28
  5. Step 5: Solve for x
    x = 6,721,869,647.28/120,338.68
  6. Step 6: Final answer
    x = 55,857.93

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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.