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Finding the Fourth Proportional to 109,466.87, 164,387.91 and 67,594.70

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Solution

The fourth proportional to 109,466.87, 164,387.91 and 67,594.70 is: 101,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466.87 : 164,387.91 = 67,594.70 : x
  2. Step 2: Convert to fraction form
    109,466.87/164,387.91 = 67,594.70/x
  3. Step 3: Cross multiply
    109,466.87x = 164,387.91 × 67,594.70
  4. Step 4: Simplify right side
    109,466.87x = 11,111,751,554.20
  5. Step 5: Solve for x
    x = 11,111,751,554.20/109,466.87
  6. Step 6: Final answer
    x = 101,507.90

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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.