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Finding the Fourth Proportional to 193,066.80, 289,600.20 and 130,081.20

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Solution

The fourth proportional to 193,066.80, 289,600.20 and 130,081.20 is: 195,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,066.80 : 289,600.20 = 130,081.20 : x
  2. Step 2: Convert to fraction form
    193,066.80/289,600.20 = 130,081.20/x
  3. Step 3: Cross multiply
    193,066.80x = 289,600.20 × 130,081.20
  4. Step 4: Simplify right side
    193,066.80x = 37,671,541,536.24
  5. Step 5: Solve for x
    x = 37,671,541,536.24/193,066.80
  6. Step 6: Final answer
    x = 195,121.80

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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.