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Finding the Fourth Proportional to 205,072.60, 307,053.06 and 106,369.24

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Solution

The fourth proportional to 205,072.60, 307,053.06 and 106,369.24 is: 159,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,072.60 : 307,053.06 = 106,369.24 : x
  2. Step 2: Convert to fraction form
    205,072.60/307,053.06 = 106,369.24/x
  3. Step 3: Cross multiply
    205,072.60x = 307,053.06 × 106,369.24
  4. Step 4: Simplify right side
    205,072.60x = 32,661,000,631.87
  5. Step 5: Solve for x
    x = 32,661,000,631.87/205,072.60
  6. Step 6: Final answer
    x = 159,265.55

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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.