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Finding the Fourth Proportional to 130,708, 196,062 and 32,212

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Solution

The fourth proportional to 130,708, 196,062 and 32,212 is: 48,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,708 : 196,062 = 32,212 : x
  2. Step 2: Convert to fraction form
    130,708/196,062 = 32,212/x
  3. Step 3: Cross multiply
    130,708x = 196,062 × 32,212
  4. Step 4: Simplify right side
    130,708x = 6,315,549,144
  5. Step 5: Solve for x
    x = 6,315,549,144/130,708
  6. Step 6: Final answer
    x = 48,318

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.