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Finding the Fourth Proportional to 120,508.84, 180,642.96 and 41,572.72

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Solution

The fourth proportional to 120,508.84, 180,642.96 and 41,572.72 is: 62,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,508.84 : 180,642.96 = 41,572.72 : x
  2. Step 2: Convert to fraction form
    120,508.84/180,642.96 = 41,572.72/x
  3. Step 3: Cross multiply
    120,508.84x = 180,642.96 × 41,572.72
  4. Step 4: Simplify right side
    120,508.84x = 7,509,819,196.05
  5. Step 5: Solve for x
    x = 7,509,819,196.05/120,508.84
  6. Step 6: Final answer
    x = 62,317.58

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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.