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Finding the Fourth Proportional to 120,839.80, 181,259.70 and 89,735.80

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Solution

The fourth proportional to 120,839.80, 181,259.70 and 89,735.80 is: 134,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,839.80 : 181,259.70 = 89,735.80 : x
  2. Step 2: Convert to fraction form
    120,839.80/181,259.70 = 89,735.80/x
  3. Step 3: Cross multiply
    120,839.80x = 181,259.70 × 89,735.80
  4. Step 4: Simplify right side
    120,839.80x = 16,265,484,187.26
  5. Step 5: Solve for x
    x = 16,265,484,187.26/120,839.80
  6. Step 6: Final answer
    x = 134,603.70

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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.