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Finding the Fourth Proportional to 120,694.64, 181,000.94 and 41,790.40

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Solution

The fourth proportional to 120,694.64, 181,000.94 and 41,790.40 is: 62,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,694.64 : 181,000.94 = 41,790.40 : x
  2. Step 2: Convert to fraction form
    120,694.64/181,000.94 = 41,790.40/x
  3. Step 3: Cross multiply
    120,694.64x = 181,000.94 × 41,790.40
  4. Step 4: Simplify right side
    120,694.64x = 7,564,101,682.98
  5. Step 5: Solve for x
    x = 7,564,101,682.98/120,694.64
  6. Step 6: Final answer
    x = 62,671.40

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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.