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Finding the Fourth Proportional to 109,734.30, 164,601.45 and 74,304.90

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Solution

The fourth proportional to 109,734.30, 164,601.45 and 74,304.90 is: 111,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734.30 : 164,601.45 = 74,304.90 : x
  2. Step 2: Convert to fraction form
    109,734.30/164,601.45 = 74,304.90/x
  3. Step 3: Cross multiply
    109,734.30x = 164,601.45 × 74,304.90
  4. Step 4: Simplify right side
    109,734.30x = 12,230,694,282.11
  5. Step 5: Solve for x
    x = 12,230,694,282.11/109,734.30
  6. Step 6: Final answer
    x = 111,457.35

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1.5x scale

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.