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Finding the Fourth Proportional to 233,970.82, 322,894.49 and 131,959.06

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Solution

The fourth proportional to 233,970.82, 322,894.49 and 131,959.06 is: 182,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970.82 : 322,894.49 = 131,959.06 : x
  2. Step 2: Convert to fraction form
    233,970.82/322,894.49 = 131,959.06/x
  3. Step 3: Cross multiply
    233,970.82x = 322,894.49 × 131,959.06
  4. Step 4: Simplify right side
    233,970.82x = 42,608,852,902.24
  5. Step 5: Solve for x
    x = 42,608,852,902.24/233,970.82
  6. Step 6: Final answer
    x = 182,111.83

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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.