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Finding the Fourth Proportional to 130,993.90, 196,350.96 and 74,712.82

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Solution

The fourth proportional to 130,993.90, 196,350.96 and 74,712.82 is: 111,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,993.90 : 196,350.96 = 74,712.82 : x
  2. Step 2: Convert to fraction form
    130,993.90/196,350.96 = 74,712.82/x
  3. Step 3: Cross multiply
    130,993.90x = 196,350.96 × 74,712.82
  4. Step 4: Simplify right side
    130,993.90x = 14,669,933,931.31
  5. Step 5: Solve for x
    x = 14,669,933,931.31/130,993.90
  6. Step 6: Final answer
    x = 111,989.44

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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.