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Finding the Fourth Proportional to 147,069.20, 220,661.40 and 53,584.40

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Solution

The fourth proportional to 147,069.20, 220,661.40 and 53,584.40 is: 80,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,069.20 : 220,661.40 = 53,584.40 : x
  2. Step 2: Convert to fraction form
    147,069.20/220,661.40 = 53,584.40/x
  3. Step 3: Cross multiply
    147,069.20x = 220,661.40 × 53,584.40
  4. Step 4: Simplify right side
    147,069.20x = 11,824,008,722.16
  5. Step 5: Solve for x
    x = 11,824,008,722.16/147,069.20
  6. Step 6: Final answer
    x = 80,397.59

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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.