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Finding the Fourth Proportional to 130,716, 196,103.16 and 47,610

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Solution

The fourth proportional to 130,716, 196,103.16 and 47,610 is: 71,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,716 : 196,103.16 = 47,610 : x
  2. Step 2: Convert to fraction form
    130,716/196,103.16 = 47,610/x
  3. Step 3: Cross multiply
    130,716x = 196,103.16 × 47,610
  4. Step 4: Simplify right side
    130,716x = 9,336,471,447.60
  5. Step 5: Solve for x
    x = 9,336,471,447.60/130,716
  6. Step 6: Final answer
    x = 71,425.62

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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.