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Finding the Fourth Proportional to 205,913.40, 309,042.90 and 100,822.20

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Solution

The fourth proportional to 205,913.40, 309,042.90 and 100,822.20 is: 151,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,913.40 : 309,042.90 = 100,822.20 : x
  2. Step 2: Convert to fraction form
    205,913.40/309,042.90 = 100,822.20/x
  3. Step 3: Cross multiply
    205,913.40x = 309,042.90 × 100,822.20
  4. Step 4: Simplify right side
    205,913.40x = 31,158,385,072.38
  5. Step 5: Solve for x
    x = 31,158,385,072.38/205,913.40
  6. Step 6: Final answer
    x = 151,317.91

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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.