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Finding the Fourth Proportional to 115,882.81, 173,704.35 and 65,855.17

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Solution

The fourth proportional to 115,882.81, 173,704.35 and 65,855.17 is: 98,714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,882.81 : 173,704.35 = 65,855.17 : x
  2. Step 2: Convert to fraction form
    115,882.81/173,704.35 = 65,855.17/x
  3. Step 3: Cross multiply
    115,882.81x = 173,704.35 × 65,855.17
  4. Step 4: Simplify right side
    115,882.81x = 11,439,329,498.99
  5. Step 5: Solve for x
    x = 11,439,329,498.99/115,882.81
  6. Step 6: Final answer
    x = 98,714.64

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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.