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Finding the Fourth Proportional to 205,072.60, 307,320.90 and 163,024.60

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Solution

The fourth proportional to 205,072.60, 307,320.90 and 163,024.60 is: 244,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072.60 : 307,320.90 = 163,024.60 : x
  2. Step 2: Convert to fraction form
    205,072.60/307,320.90 = 163,024.60/x
  3. Step 3: Cross multiply
    205,072.60x = 307,320.90 × 163,024.60
  4. Step 4: Simplify right side
    205,072.60x = 50,100,866,794.14
  5. Step 5: Solve for x
    x = 50,100,866,794.14/205,072.60
  6. Step 6: Final answer
    x = 244,307.95

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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.