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Finding the Fourth Proportional to 130,684.90, 196,029.49 and 35,914.49

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Solution

The fourth proportional to 130,684.90, 196,029.49 and 35,914.49 is: 53,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684.90 : 196,029.49 = 35,914.49 : x
  2. Step 2: Convert to fraction form
    130,684.90/196,029.49 = 35,914.49/x
  3. Step 3: Cross multiply
    130,684.90x = 196,029.49 × 35,914.49
  4. Step 4: Simplify right side
    130,684.90x = 7,040,298,178.16
  5. Step 5: Solve for x
    x = 7,040,298,178.16/130,684.90
  6. Step 6: Final answer
    x = 53,872.32

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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.