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Finding the Fourth Proportional to 205,323.12, 307,995.72 and 65,092.68

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Solution

The fourth proportional to 205,323.12, 307,995.72 and 65,092.68 is: 97,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,323.12 : 307,995.72 = 65,092.68 : x
  2. Step 2: Convert to fraction form
    205,323.12/307,995.72 = 65,092.68/x
  3. Step 3: Cross multiply
    205,323.12x = 307,995.72 × 65,092.68
  4. Step 4: Simplify right side
    205,323.12x = 20,048,266,843.33
  5. Step 5: Solve for x
    x = 20,048,266,843.33/205,323.12
  6. Step 6: Final answer
    x = 97,642.52

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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.