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Finding the Fourth Proportional to 97,706.80, 146,122.80 and 81,960.40

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Solution

The fourth proportional to 97,706.80, 146,122.80 and 81,960.40 is: 122,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.80 : 146,122.80 = 81,960.40 : x
  2. Step 2: Convert to fraction form
    97,706.80/146,122.80 = 81,960.40/x
  3. Step 3: Cross multiply
    97,706.80x = 146,122.80 × 81,960.40
  4. Step 4: Simplify right side
    97,706.80x = 11,976,283,137.12
  5. Step 5: Solve for x
    x = 11,976,283,137.12/97,706.80
  6. Step 6: Final answer
    x = 122,573.69

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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.