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Finding the Fourth Proportional to 130,711.93, 196,093.41 and 41,958.61

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Solution

The fourth proportional to 130,711.93, 196,093.41 and 41,958.61 is: 62,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,711.93 : 196,093.41 = 41,958.61 : x
  2. Step 2: Convert to fraction form
    130,711.93/196,093.41 = 41,958.61/x
  3. Step 3: Cross multiply
    130,711.93x = 196,093.41 × 41,958.61
  4. Step 4: Simplify right side
    130,711.93x = 8,227,806,266.18
  5. Step 5: Solve for x
    x = 8,227,806,266.18/130,711.93
  6. Step 6: Final answer
    x = 62,946.10

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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.