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Finding the Fourth Proportional to 120,624.20, 180,903.90 and 50,510.60

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Solution

The fourth proportional to 120,624.20, 180,903.90 and 50,510.60 is: 75,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,624.20 : 180,903.90 = 50,510.60 : x
  2. Step 2: Convert to fraction form
    120,624.20/180,903.90 = 50,510.60/x
  3. Step 3: Cross multiply
    120,624.20x = 180,903.90 × 50,510.60
  4. Step 4: Simplify right side
    120,624.20x = 9,137,564,531.34
  5. Step 5: Solve for x
    x = 9,137,564,531.34/120,624.20
  6. Step 6: Final answer
    x = 75,752.33

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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.