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Finding the Fourth Proportional to 120,491.52, 180,765.84 and 41,606.40

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Solution

The fourth proportional to 120,491.52, 180,765.84 and 41,606.40 is: 62,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,491.52 : 180,765.84 = 41,606.40 : x
  2. Step 2: Convert to fraction form
    120,491.52/180,765.84 = 41,606.40/x
  3. Step 3: Cross multiply
    120,491.52x = 180,765.84 × 41,606.40
  4. Step 4: Simplify right side
    120,491.52x = 7,521,015,845.38
  5. Step 5: Solve for x
    x = 7,521,015,845.38/120,491.52
  6. Step 6: Final answer
    x = 62,419.46

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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.