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Finding the Fourth Proportional to 233,921, 322,791.36 and 138,410.96

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Solution

The fourth proportional to 233,921, 322,791.36 and 138,410.96 is: 190,995.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,921 : 322,791.36 = 138,410.96 : x
  2. Step 2: Convert to fraction form
    233,921/322,791.36 = 138,410.96/x
  3. Step 3: Cross multiply
    233,921x = 322,791.36 × 138,410.96
  4. Step 4: Simplify right side
    233,921x = 44,677,862,017.31
  5. Step 5: Solve for x
    x = 44,677,862,017.31/233,921
  6. Step 6: Final answer
    x = 190,995.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.