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Finding the Fourth Proportional to 120,205.88, 180,308.06 and 49,113.48

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Solution

The fourth proportional to 120,205.88, 180,308.06 and 49,113.48 is: 73,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,205.88 : 180,308.06 = 49,113.48 : x
  2. Step 2: Convert to fraction form
    120,205.88/180,308.06 = 49,113.48/x
  3. Step 3: Cross multiply
    120,205.88x = 180,308.06 × 49,113.48
  4. Step 4: Simplify right side
    120,205.88x = 8,855,556,298.65
  5. Step 5: Solve for x
    x = 8,855,556,298.65/120,205.88
  6. Step 6: Final answer
    x = 73,669.91

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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.