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Finding the Fourth Proportional to 233,576.83, 322,335.94 and 126,146.88

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Solution

The fourth proportional to 233,576.83, 322,335.94 and 126,146.88 is: 174,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,576.83 : 322,335.94 = 126,146.88 : x
  2. Step 2: Convert to fraction form
    233,576.83/322,335.94 = 126,146.88/x
  3. Step 3: Cross multiply
    233,576.83x = 322,335.94 × 126,146.88
  4. Step 4: Simplify right side
    233,576.83x = 40,661,672,827.50
  5. Step 5: Solve for x
    x = 40,661,672,827.50/233,576.83
  6. Step 6: Final answer
    x = 174,082.65

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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.