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Finding the Fourth Proportional to 233,901.77, 322,765.86 and 131,894.61

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Solution

The fourth proportional to 233,901.77, 322,765.86 and 131,894.61 is: 182,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,901.77 : 322,765.86 = 131,894.61 : x
  2. Step 2: Convert to fraction form
    233,901.77/322,765.86 = 131,894.61/x
  3. Step 3: Cross multiply
    233,901.77x = 322,765.86 × 131,894.61
  4. Step 4: Simplify right side
    233,901.77x = 42,571,077,226.01
  5. Step 5: Solve for x
    x = 42,571,077,226.01/233,901.77
  6. Step 6: Final answer
    x = 182,004.09

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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.