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Finding the Fourth Proportional to 130,704, 196,056 and 32,208

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Solution

The fourth proportional to 130,704, 196,056 and 32,208 is: 48,312

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,704 : 196,056 = 32,208 : x
  2. Step 2: Convert to fraction form
    130,704/196,056 = 32,208/x
  3. Step 3: Cross multiply
    130,704x = 196,056 × 32,208
  4. Step 4: Simplify right side
    130,704x = 6,314,571,648
  5. Step 5: Solve for x
    x = 6,314,571,648/130,704
  6. Step 6: Final answer
    x = 48,312

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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.