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Finding the Fourth Proportional to 130,751.21, 196,209.74 and 55,871.98

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Solution

The fourth proportional to 130,751.21, 196,209.74 and 55,871.98 is: 83,843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,751.21 : 196,209.74 = 55,871.98 : x
  2. Step 2: Convert to fraction form
    130,751.21/196,209.74 = 55,871.98/x
  3. Step 3: Cross multiply
    130,751.21x = 196,209.74 × 55,871.98
  4. Step 4: Simplify right side
    130,751.21x = 10,962,626,318.24
  5. Step 5: Solve for x
    x = 10,962,626,318.24/130,751.21
  6. Step 6: Final answer
    x = 83,843.40

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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.