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Finding the Fourth Proportional to 132,575.41, 182,952.16 and 72,959.41

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Solution

The fourth proportional to 132,575.41, 182,952.16 and 72,959.41 is: 100,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,575.41 : 182,952.16 = 72,959.41 : x
  2. Step 2: Convert to fraction form
    132,575.41/182,952.16 = 72,959.41/x
  3. Step 3: Cross multiply
    132,575.41x = 182,952.16 × 72,959.41
  4. Step 4: Simplify right side
    132,575.41x = 13,348,081,651.83
  5. Step 5: Solve for x
    x = 13,348,081,651.83/132,575.41
  6. Step 6: Final answer
    x = 100,682.94

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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.