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Finding the Fourth Proportional to 218,206.76, 300,954.56 and 149,337.05

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Solution

The fourth proportional to 218,206.76, 300,954.56 and 149,337.05 is: 205,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,206.76 : 300,954.56 = 149,337.05 : x
  2. Step 2: Convert to fraction form
    218,206.76/300,954.56 = 149,337.05/x
  3. Step 3: Cross multiply
    218,206.76x = 300,954.56 × 149,337.05
  4. Step 4: Simplify right side
    218,206.76x = 44,943,663,922.99
  5. Step 5: Solve for x
    x = 44,943,663,922.99/218,206.76
  6. Step 6: Final answer
    x = 205,968.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.