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Finding the Fourth Proportional to 130,825.50, 196,243.02 and 46,591.86

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Solution

The fourth proportional to 130,825.50, 196,243.02 and 46,591.86 is: 69,889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,825.50 : 196,243.02 = 46,591.86 : x
  2. Step 2: Convert to fraction form
    130,825.50/196,243.02 = 46,591.86/x
  3. Step 3: Cross multiply
    130,825.50x = 196,243.02 × 46,591.86
  4. Step 4: Simplify right side
    130,825.50x = 9,143,327,313.82
  5. Step 5: Solve for x
    x = 9,143,327,313.82/130,825.50
  6. Step 6: Final answer
    x = 69,889.49

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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.