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Finding the Fourth Proportional to 109,782.64, 164,894.40 and 65,495.92

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Solution

The fourth proportional to 109,782.64, 164,894.40 and 65,495.92 is: 98,375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,782.64 : 164,894.40 = 65,495.92 : x
  2. Step 2: Convert to fraction form
    109,782.64/164,894.40 = 65,495.92/x
  3. Step 3: Cross multiply
    109,782.64x = 164,894.40 × 65,495.92
  4. Step 4: Simplify right side
    109,782.64x = 10,799,910,430.85
  5. Step 5: Solve for x
    x = 10,799,910,430.85/109,782.64
  6. Step 6: Final answer
    x = 98,375.39

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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.