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Finding the Fourth Proportional to 115,717.82, 173,352.56 and 65,646.45

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Solution

The fourth proportional to 115,717.82, 173,352.56 and 65,646.45 is: 98,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,717.82 : 173,352.56 = 65,646.45 : x
  2. Step 2: Convert to fraction form
    115,717.82/173,352.56 = 65,646.45/x
  3. Step 3: Cross multiply
    115,717.82x = 173,352.56 × 65,646.45
  4. Step 4: Simplify right side
    115,717.82x = 11,379,979,834.18
  5. Step 5: Solve for x
    x = 11,379,979,834.18/115,717.82
  6. Step 6: Final answer
    x = 98,342.51

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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.