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Finding the Fourth Proportional to 136,220.80, 204,331.20 and 130,097.20

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Solution

The fourth proportional to 136,220.80, 204,331.20 and 130,097.20 is: 195,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,220.80 : 204,331.20 = 130,097.20 : x
  2. Step 2: Convert to fraction form
    136,220.80/204,331.20 = 130,097.20/x
  3. Step 3: Cross multiply
    136,220.80x = 204,331.20 × 130,097.20
  4. Step 4: Simplify right side
    136,220.80x = 26,582,916,992.64
  5. Step 5: Solve for x
    x = 26,582,916,992.64/136,220.80
  6. Step 6: Final answer
    x = 195,145.80

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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.