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Finding the Fourth Proportional to 203,461.65, 305,199.45 and 81,880.65

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Solution

The fourth proportional to 203,461.65, 305,199.45 and 81,880.65 is: 122,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.65 : 305,199.45 = 81,880.65 : x
  2. Step 2: Convert to fraction form
    203,461.65/305,199.45 = 81,880.65/x
  3. Step 3: Cross multiply
    203,461.65x = 305,199.45 × 81,880.65
  4. Step 4: Simplify right side
    203,461.65x = 24,989,929,345.64
  5. Step 5: Solve for x
    x = 24,989,929,345.64/203,461.65
  6. Step 6: Final answer
    x = 122,823.78

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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.