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Finding the Fourth Proportional to 109,659.70, 164,489.55 and 97,995.70

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Solution

The fourth proportional to 109,659.70, 164,489.55 and 97,995.70 is: 146,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,659.70 : 164,489.55 = 97,995.70 : x
  2. Step 2: Convert to fraction form
    109,659.70/164,489.55 = 97,995.70/x
  3. Step 3: Cross multiply
    109,659.70x = 164,489.55 × 97,995.70
  4. Step 4: Simplify right side
    109,659.70x = 16,119,268,594.94
  5. Step 5: Solve for x
    x = 16,119,268,594.94/109,659.70
  6. Step 6: Final answer
    x = 146,993.55

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Similar ratio
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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.