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Finding the Fourth Proportional to 132,333.94, 182,642.61 and 96,642.10

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Solution

The fourth proportional to 132,333.94, 182,642.61 and 96,642.10 is: 133,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,333.94 : 182,642.61 = 96,642.10 : x
  2. Step 2: Convert to fraction form
    132,333.94/182,642.61 = 96,642.10/x
  3. Step 3: Cross multiply
    132,333.94x = 182,642.61 × 96,642.10
  4. Step 4: Simplify right side
    132,333.94x = 17,650,965,379.88
  5. Step 5: Solve for x
    x = 17,650,965,379.88/132,333.94
  6. Step 6: Final answer
    x = 133,382.00

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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.