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Finding the Fourth Proportional to 116,432.84, 174,508.11 and 82,645.71

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Solution

The fourth proportional to 116,432.84, 174,508.11 and 82,645.71 is: 123,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,432.84 : 174,508.11 = 82,645.71 : x
  2. Step 2: Convert to fraction form
    116,432.84/174,508.11 = 82,645.71/x
  3. Step 3: Cross multiply
    116,432.84x = 174,508.11 × 82,645.71
  4. Step 4: Simplify right side
    116,432.84x = 14,422,346,651.71
  5. Step 5: Solve for x
    x = 14,422,346,651.71/116,432.84
  6. Step 6: Final answer
    x = 123,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.