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Finding the Fourth Proportional to 133,209.53, 183,826.76 and 72,778.67

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Solution

The fourth proportional to 133,209.53, 183,826.76 and 72,778.67 is: 100,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,209.53 : 183,826.76 = 72,778.67 : x
  2. Step 2: Convert to fraction form
    133,209.53/183,826.76 = 72,778.67/x
  3. Step 3: Cross multiply
    133,209.53x = 183,826.76 × 72,778.67
  4. Step 4: Simplify right side
    133,209.53x = 13,378,665,820.18
  5. Step 5: Solve for x
    x = 13,378,665,820.18/133,209.53
  6. Step 6: Final answer
    x = 100,433.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.