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Finding the Fourth Proportional to 97,367.40, 146,051.10 and 80,964.90

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Solution

The fourth proportional to 97,367.40, 146,051.10 and 80,964.90 is: 121,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,367.40 : 146,051.10 = 80,964.90 : x
  2. Step 2: Convert to fraction form
    97,367.40/146,051.10 = 80,964.90/x
  3. Step 3: Cross multiply
    97,367.40x = 146,051.10 × 80,964.90
  4. Step 4: Simplify right side
    97,367.40x = 11,825,012,706.39
  5. Step 5: Solve for x
    x = 11,825,012,706.39/97,367.40
  6. Step 6: Final answer
    x = 121,447.35

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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.