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Finding the Fourth Proportional to 145,378.20, 218,081.70 and 50,593.80

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Solution

The fourth proportional to 145,378.20, 218,081.70 and 50,593.80 is: 75,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,378.20 : 218,081.70 = 50,593.80 : x
  2. Step 2: Convert to fraction form
    145,378.20/218,081.70 = 50,593.80/x
  3. Step 3: Cross multiply
    145,378.20x = 218,081.70 × 50,593.80
  4. Step 4: Simplify right side
    145,378.20x = 11,033,581,913.46
  5. Step 5: Solve for x
    x = 11,033,581,913.46/145,378.20
  6. Step 6: Final answer
    x = 75,895.71

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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.