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Finding the Fourth Proportional to 200,999.90, 301,062.45 and 121,976.30

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Solution

The fourth proportional to 200,999.90, 301,062.45 and 121,976.30 is: 182,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.90 : 301,062.45 = 121,976.30 : x
  2. Step 2: Convert to fraction form
    200,999.90/301,062.45 = 121,976.30/x
  3. Step 3: Cross multiply
    200,999.90x = 301,062.45 × 121,976.30
  4. Step 4: Simplify right side
    200,999.90x = 36,722,483,719.94
  5. Step 5: Solve for x
    x = 36,722,483,719.94/200,999.90
  6. Step 6: Final answer
    x = 182,699.01

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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.