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Finding the Fourth Proportional to 205,325.90, 307,758.45 and 116,621.90

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Solution

The fourth proportional to 205,325.90, 307,758.45 and 116,621.90 is: 174,801.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325.90 : 307,758.45 = 116,621.90 : x
  2. Step 2: Convert to fraction form
    205,325.90/307,758.45 = 116,621.90/x
  3. Step 3: Cross multiply
    205,325.90x = 307,758.45 × 116,621.90
  4. Step 4: Simplify right side
    205,325.90x = 35,891,375,180.06
  5. Step 5: Solve for x
    x = 35,891,375,180.06/205,325.90
  6. Step 6: Final answer
    x = 174,801.99

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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.