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Finding the Fourth Proportional to 120,863.33, 181,373.70 and 45,984.12

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Solution

The fourth proportional to 120,863.33, 181,373.70 and 45,984.12 is: 69,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,863.33 : 181,373.70 = 45,984.12 : x
  2. Step 2: Convert to fraction form
    120,863.33/181,373.70 = 45,984.12/x
  3. Step 3: Cross multiply
    120,863.33x = 181,373.70 × 45,984.12
  4. Step 4: Simplify right side
    120,863.33x = 8,340,310,209.87
  5. Step 5: Solve for x
    x = 8,340,310,209.87/120,863.33
  6. Step 6: Final answer
    x = 69,006.13

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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.