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Finding the Fourth Proportional to 110,296.58, 165,463.33 and 86,603.17

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Solution

The fourth proportional to 110,296.58, 165,463.33 and 86,603.17 is: 129,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,296.58 : 165,463.33 = 86,603.17 : x
  2. Step 2: Convert to fraction form
    110,296.58/165,463.33 = 86,603.17/x
  3. Step 3: Cross multiply
    110,296.58x = 165,463.33 × 86,603.17
  4. Step 4: Simplify right side
    110,296.58x = 14,329,649,093.91
  5. Step 5: Solve for x
    x = 14,329,649,093.91/110,296.58
  6. Step 6: Final answer
    x = 129,919.25

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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.