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Finding the Fourth Proportional to 109,964.20, 164,751.90 and 97,522.60

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Solution

The fourth proportional to 109,964.20, 164,751.90 and 97,522.60 is: 146,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,964.20 : 164,751.90 = 97,522.60 : x
  2. Step 2: Convert to fraction form
    109,964.20/164,751.90 = 97,522.60/x
  3. Step 3: Cross multiply
    109,964.20x = 164,751.90 × 97,522.60
  4. Step 4: Simplify right side
    109,964.20x = 16,067,033,642.94
  5. Step 5: Solve for x
    x = 16,067,033,642.94/109,964.20
  6. Step 6: Final answer
    x = 146,111.49

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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.