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Finding the Fourth Proportional to 130,772, 196,158 and 32,276

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Solution

The fourth proportional to 130,772, 196,158 and 32,276 is: 48,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,772 : 196,158 = 32,276 : x
  2. Step 2: Convert to fraction form
    130,772/196,158 = 32,276/x
  3. Step 3: Cross multiply
    130,772x = 196,158 × 32,276
  4. Step 4: Simplify right side
    130,772x = 6,331,195,608
  5. Step 5: Solve for x
    x = 6,331,195,608/130,772
  6. Step 6: Final answer
    x = 48,414

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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.