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Finding the Fourth Proportional to 110,716.62, 165,780.09 and 58,015.86

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Solution

The fourth proportional to 110,716.62, 165,780.09 and 58,015.86 is: 86,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,716.62 : 165,780.09 = 58,015.86 : x
  2. Step 2: Convert to fraction form
    110,716.62/165,780.09 = 58,015.86/x
  3. Step 3: Cross multiply
    110,716.62x = 165,780.09 × 58,015.86
  4. Step 4: Simplify right side
    110,716.62x = 9,617,874,492.23
  5. Step 5: Solve for x
    x = 9,617,874,492.23/110,716.62
  6. Step 6: Final answer
    x = 86,869.29

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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.