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Finding the Fourth Proportional to 132,497.41, 182,829.81 and 89,570.30

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Solution

The fourth proportional to 132,497.41, 182,829.81 and 89,570.30 is: 123,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,497.41 : 182,829.81 = 89,570.30 : x
  2. Step 2: Convert to fraction form
    132,497.41/182,829.81 = 89,570.30/x
  3. Step 3: Cross multiply
    132,497.41x = 182,829.81 × 89,570.30
  4. Step 4: Simplify right side
    132,497.41x = 16,376,121,380.80
  5. Step 5: Solve for x
    x = 16,376,121,380.80/132,497.41
  6. Step 6: Final answer
    x = 123,595.79

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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.