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Finding the Fourth Proportional to 180,938.46, 271,406.02 and 46,002.84

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Solution

The fourth proportional to 180,938.46, 271,406.02 and 46,002.84 is: 69,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,938.46 : 271,406.02 = 46,002.84 : x
  2. Step 2: Convert to fraction form
    180,938.46/271,406.02 = 46,002.84/x
  3. Step 3: Cross multiply
    180,938.46x = 271,406.02 × 46,002.84
  4. Step 4: Simplify right side
    180,938.46x = 12,485,446,537.19
  5. Step 5: Solve for x
    x = 12,485,446,537.19/180,938.46
  6. Step 6: Final answer
    x = 69,003.83

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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.