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Finding the Fourth Proportional to 233,999.87, 322,892.06 and 132,019.38

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Solution

The fourth proportional to 233,999.87, 322,892.06 and 132,019.38 is: 182,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,999.87 : 322,892.06 = 132,019.38 : x
  2. Step 2: Convert to fraction form
    233,999.87/322,892.06 = 132,019.38/x
  3. Step 3: Cross multiply
    233,999.87x = 322,892.06 × 132,019.38
  4. Step 4: Simplify right side
    233,999.87x = 42,628,007,999.89
  5. Step 5: Solve for x
    x = 42,628,007,999.89/233,999.87
  6. Step 6: Final answer
    x = 182,171.08

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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.