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Finding the Fourth Proportional to 200,983.90, 301,216.65 and 154,003.90

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Solution

The fourth proportional to 200,983.90, 301,216.65 and 154,003.90 is: 230,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,983.90 : 301,216.65 = 154,003.90 : x
  2. Step 2: Convert to fraction form
    200,983.90/301,216.65 = 154,003.90/x
  3. Step 3: Cross multiply
    200,983.90x = 301,216.65 × 154,003.90
  4. Step 4: Simplify right side
    200,983.90x = 46,388,538,844.94
  5. Step 5: Solve for x
    x = 46,388,538,844.94/200,983.90
  6. Step 6: Final answer
    x = 230,807.24

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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.