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Finding the Fourth Proportional to 69,206.40, 103,744.80 and 54,205.20

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Solution

The fourth proportional to 69,206.40, 103,744.80 and 54,205.20 is: 81,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206.40 : 103,744.80 = 54,205.20 : x
  2. Step 2: Convert to fraction form
    69,206.40/103,744.80 = 54,205.20/x
  3. Step 3: Cross multiply
    69,206.40x = 103,744.80 × 54,205.20
  4. Step 4: Simplify right side
    69,206.40x = 5,623,507,632.96
  5. Step 5: Solve for x
    x = 5,623,507,632.96/69,206.40
  6. Step 6: Final answer
    x = 81,257.05

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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.