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Finding the Fourth Proportional to 130,706, 196,059 and 32,210

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Solution

The fourth proportional to 130,706, 196,059 and 32,210 is: 48,315

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,706 : 196,059 = 32,210 : x
  2. Step 2: Convert to fraction form
    130,706/196,059 = 32,210/x
  3. Step 3: Cross multiply
    130,706x = 196,059 × 32,210
  4. Step 4: Simplify right side
    130,706x = 6,315,060,390
  5. Step 5: Solve for x
    x = 6,315,060,390/130,706
  6. Step 6: Final answer
    x = 48,315

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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.