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Finding the Fourth Proportional to 233,970.85, 322,894.54 and 131,959.09

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Solution

The fourth proportional to 233,970.85, 322,894.54 and 131,959.09 is: 182,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970.85 : 322,894.54 = 131,959.09 : x
  2. Step 2: Convert to fraction form
    233,970.85/322,894.54 = 131,959.09/x
  3. Step 3: Cross multiply
    233,970.85x = 322,894.54 × 131,959.09
  4. Step 4: Simplify right side
    233,970.85x = 42,608,867,390.10
  5. Step 5: Solve for x
    x = 42,608,867,390.10/233,970.85
  6. Step 6: Final answer
    x = 182,111.87

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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.