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Finding the Fourth Proportional to 200,007.70, 299,233.95 and 130,023.70

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Solution

The fourth proportional to 200,007.70, 299,233.95 and 130,023.70 is: 194,530.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,007.70 : 299,233.95 = 130,023.70 : x
  2. Step 2: Convert to fraction form
    200,007.70/299,233.95 = 130,023.70/x
  3. Step 3: Cross multiply
    200,007.70x = 299,233.95 × 130,023.70
  4. Step 4: Simplify right side
    200,007.70x = 38,907,505,344.62
  5. Step 5: Solve for x
    x = 38,907,505,344.62/200,007.70
  6. Step 6: Final answer
    x = 194,530.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.