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Finding the Fourth Proportional to 109,941.80, 164,700.48 and 65,604.02

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Solution

The fourth proportional to 109,941.80, 164,700.48 and 65,604.02 is: 98,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,941.80 : 164,700.48 = 65,604.02 : x
  2. Step 2: Convert to fraction form
    109,941.80/164,700.48 = 65,604.02/x
  3. Step 3: Cross multiply
    109,941.80x = 164,700.48 × 65,604.02
  4. Step 4: Simplify right side
    109,941.80x = 10,805,013,583.93
  5. Step 5: Solve for x
    x = 10,805,013,583.93/109,941.80
  6. Step 6: Final answer
    x = 98,279.39

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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.