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Finding the Fourth Proportional to 144,965.80, 195,081.75 and 144,965.80

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Solution

The fourth proportional to 144,965.80, 195,081.75 and 144,965.80 is: 195,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965.80 : 195,081.75 = 144,965.80 : x
  2. Step 2: Convert to fraction form
    144,965.80/195,081.75 = 144,965.80/x
  3. Step 3: Cross multiply
    144,965.80x = 195,081.75 × 144,965.80
  4. Step 4: Simplify right side
    144,965.80x = 28,280,181,954.15
  5. Step 5: Solve for x
    x = 28,280,181,954.15/144,965.80
  6. Step 6: Final answer
    x = 195,081.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.