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Finding the Fourth Proportional to 130,684.65, 196,029.11 and 35,914.23

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Solution

The fourth proportional to 130,684.65, 196,029.11 and 35,914.23 is: 53,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,684.65 : 196,029.11 = 35,914.23 : x
  2. Step 2: Convert to fraction form
    130,684.65/196,029.11 = 35,914.23/x
  3. Step 3: Cross multiply
    130,684.65x = 196,029.11 × 35,914.23
  4. Step 4: Simplify right side
    130,684.65x = 7,040,234,543.24
  5. Step 5: Solve for x
    x = 7,040,234,543.24/130,684.65
  6. Step 6: Final answer
    x = 53,871.93

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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.