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Finding the Fourth Proportional to 233,983.98, 322,896.92 and 126,553.76

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Solution

The fourth proportional to 233,983.98, 322,896.92 and 126,553.76 is: 174,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,983.98 : 322,896.92 = 126,553.76 : x
  2. Step 2: Convert to fraction form
    233,983.98/322,896.92 = 126,553.76/x
  3. Step 3: Cross multiply
    233,983.98x = 322,896.92 × 126,553.76
  4. Step 4: Simplify right side
    233,983.98x = 40,863,817,071.17
  5. Step 5: Solve for x
    x = 40,863,817,071.17/233,983.98
  6. Step 6: Final answer
    x = 174,643.65

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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.