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Finding the Fourth Proportional to 204,965.93, 307,485.77 and 98,259.47

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Solution

The fourth proportional to 204,965.93, 307,485.77 and 98,259.47 is: 147,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,965.93 : 307,485.77 = 98,259.47 : x
  2. Step 2: Convert to fraction form
    204,965.93/307,485.77 = 98,259.47/x
  3. Step 3: Cross multiply
    204,965.93x = 307,485.77 × 98,259.47
  4. Step 4: Simplify right side
    204,965.93x = 30,213,388,792.74
  5. Step 5: Solve for x
    x = 30,213,388,792.74/204,965.93
  6. Step 6: Final answer
    x = 147,406.88

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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.